Optimal Lipschitz and L^p regularity for the equation \dbar u = f
on strongly pseudo-convex domains, Math. Annalen 219(1976),
233-260.
Structure and interpolation theorems for certain Lipschitz
spaces and estimates for the \dbar- equation, Duke Math. J.
43(1976), 417-439.
Optimal Lipschitz and L^p estimates for the equation dbar u = f
on strongly pseudo-convex domains, Bull. Amer. Math. Soc.
82(1976), 51-52.
Intrinsic Lipschitz classes on manifolds with applications to complex
function theory and estimates for the dbar and dbar_b equations,
Manuscripta Math. 24(1978), 351-378.
Smoothness of harmonic and holomorphic functions, Proc. Symp. Pure Math.,
Vol. 35 (1979) (S. Wainger and G. Weiss, eds.), 63-67.
Characterizations of various domains of holomorphy via dbar-estimates
and applications to a problem of Kohn, Illinois J. Math.
23(1979), 267-285.
(with Nicholas P. Jewell) Toeplitz operators and related function
algebras on certain pseudo-convex domains, Trans. Amer. Math. Soc.
252(1979), 297-312.
Geometric Lipschitz spaces and applications to complex function theory
and nilpotent groups, J. Funct. Anal. 34(1980), 456-471.
Lipschitz spaces on stratified groups, Trans. Am. Math. Soc.
269(1982), 39-66.
Finite type conditions and elliptic boundary value problems,
Jour. Diff. Eq. 34(1979), 239-260.
(with John Erik Fornaess) Continuously varying peaking functions,
Pac. Jour. Math. 83(1979), 341-347.
Analysis on the Heisenberg group and estimates for functions in
Hardy classes of several complex variables, Math. Annalen
244(1979), 243-262.
Estimates for integral kernels of mixed type, fractional integration
operators, and optimal estimates for the dbar-operator,
Manuscripta Math. 30(1979), 21-52.
(with R. E. Greene) Stability properties of the Bergman kernel and
curvature properties of bounded domains,
Recent Develpments in Several Complex
Variables (J. E. Fornaess, ed.),
Princeton University Press (1979), 179-198.
Boundary values and estimates for holomorphic functions of
several complex variables, Duke Math. Jour. 47(1980), 81-98.
Fractional integration on Hardy spaces, Studia Math.
73(1982), 87-94.
Holomorphic functions of bounded mean oscillation and mapping properties
of the Szego projection, Duke Math. Jour. 47(1980), 743-761.
H^p(RR^n) is equidistributed with L^p(RR^n), Commentari Math.
Helvetici 56(1981), 136-141.
(with Harold R. Parks) Distance to C^k manifolds, Jour. Diff.
Equations 40(1981), 116-120.
(with R. E. Greene) Deformations of complex structure, estimates
for the dbar-equation, and stability of the Bergman kernel,
Advances in Math. 43(1982), 1-86.
(with R. E. Greene) The automorphism groups of strongly pseudoconvex
domains, Math. Annalen 261(1982), 425-446.
(with R. E. Greene) The stability of the Bergman kernel and the geometry
of the Bergman metric, Bull. Am. Math. Soc. 4(1981), 111-115.
(with Joseph A. Cima) The Lindelof principle and normal functions
of several complex variables, Duke Math. Jour. 50(1983), 303-328.
(with R. E. Greene) Stability of the Caratheodory and Kobayashi
metrics and applications to biholomorphic mappings, Proceedings of
Symposia in Pure Mathematics, Vol. 41 (1984), 77-93.
Characterizations of smooth domains in CC by their biholomorphic self maps,
Am. Math. Monthly 90(1983), 555-557.
(with R. E. Greene) Normal families and the semicontinuity of isometry
and automorphism groups, Math. Zeitschrift 190(1985), 455-467.
Lipschitz spaces, smoothness of functions, and approximation theory,
Expositiones Math. 3(1983), 193-260.
(with R. E. Greene) Characterizations of certain weakly pseudo-convex
domains with non-compact automorphism groups, in Complex Analysis
Seminar , Springer Lecture Notes 1268(1987), 121-157.
(with J. A. Cima and T. Suffridge) A reflection principle for proper
holomorphic mappings of strongly pseudoconvex domains and applications,
Math. Z. 186(1984), 1-8.
(with J. Duncan and H. R. Parks) Non-linear conditions for differentiability
of functions, Jour. d'Analyse Mathematique 45(1985), 46-68.
(with R. E. Greene) Characterization of complex manifolds by the isotropy
subgroups of their automorphism groups, Indiana Univ. Math. J. 34(1985),
865-879.
(with S. R. Bell) Smoothness to the boundary of conformal mappings,
Rocky Mountain J. Math. 17(1987), 23-40.
(with T. D. Parsons) Antisocial subcoverings of self-centered covers,
Am. Math. Monthly 93(1986), 45-48.
(with P. Erdos, C. Godsil, and T. D. Parsons) Intersection graphs
for families of balls in RR^n, Eur. J. Combin. 9(1988), 501-505.
(with Marco Abate) The Julia theorem and Julia-Caratheodory theorem on domains
of general type in CC ^n, in preparation.
Integral formulas in complex analysis, a chapter in The Beijing Lectures
in Harmonic Analysis, Annals of Mathematics Studies, Princeton
University Press, Princeton, v. 112(1986), 185-240.
Functions of Several Complex Variables and Analytic Spaces, The Encyclopedia
of Physical Science and Technology,
Academic Press, v. 5(1986), 698-722.
Functions of One Complex Variable, The Encyclopedia of Physical Science
and Technology, Academic Press, v. 5(1986), 662-697.
What is several complex variables?, Am. Math. Monthly 94(1987), 236-256.
Fatou theorems on domains in CC^n, Bull. Am. Math. Soc., 16(1987), 93-96.
Recent progress and future directions in several complex variables, in Complex
Analysis Seminar, Springer Verlag Lecture Notes 1268(1987), 1-23.
(with Robert E. Greene) Biholomorphic self-maps of domains, Complex
Analysis II (C. Berenstein, ed.), Springer Lecture Notes, vol. 1276, 1987, 136-207.
(with Gordon Chen, Daowei Ma, C. Eugene Wayne, and H. H. West), The
Euler-Bernoulli
beam equation wth boundary energy dissipation, in Operator
Methods for
Optimal Control Problems (Sung J. Lee, ed.), Marcel Dekker,
New York, 1988, 67-96.
Invariant metrics and the boundary behavior of holomorphic functions on domains
n CC^n, Jour. Geometric. Anal. 1(1991), 71-98.
(with Daowei Ma) Bloch functions on strongly pseudoconvex domains
Indiana Univ. Math. J. 37(1988), 145-163.
(with Daowei Ma) On isometric isomorphisms of the Bloch space in several
complex variables, Michigan Math. J. 36(1989), 173-180.
A compactness principle in complex analysis, Division de Matematicas,
Univ. Autonoma de Madrid Seminarios, vol. 3, 1987, 171-194.
Lectures on Hardy spaces in complex domains, University of Umea Lecture
Notes, 1987, 1-63.
(with G. Chen, C. E. Wayne, and H. H. West), Analysis,
designs, and behavior of dissipative
joints for coupled
beams, SIAM Jr. Appl. Math., 49(1989), 1665-1693.
Compactness of the dbar- Neumann Operator, Proc. Am. Math. Soc.
103(1988), 1136-1138.
On a theorem of Stein I, Trans. AMS 320(1990), 625-642.
(with G. Chen, D. Russell, C. E. Wayne, H. West, J. Zhou), Modelling,
analysis and testing of dissipative beam joints---experiments and data
smoothing, Math. Comp. Modelling (E. Rodin, ed.) 11(1988), 1011-1016.
Mathematical Anecdotes, Mathematical Intelligencer, 12 (1990), 32-38.
(with Der Chen Chang), Holomorphic Lipschitz functions and
applications to estimates for the
dbar-problem, Colloq. Math. 63(1991).
(with William Paulsen), Eigenvalue asymptotics for the N-beam Euler-Bernoulli
coupled beam equation with dissipative joints, em Jour. Symb. Computation 11(1991), 369-418.
On the boundary behavior of the Kobayashi metric, Rocky Mountain J. Math., 22(1992).
(with R. E. Greene), Techniques for Studying the Automorphism Groups of
Weakly Pseudoconvex Domains, Proceedings of the Special Year at the Mittag-Leffler
Institute (J. E. Fornae ss and C. O. Kiselman, eds.) Annals of Math.
Studies, Princeton Univ. Press, Princeton, 1992.
(with Harold R. Parks), On the vector sum of two convex sets, em Can. Jour. Math., 1991.
(with G. Aladro), A criterion for normality in CC^n, em J. Math. Anal. Applic., 1991.
(with Robert E. Greene), Invariants of Bergman geometry and results concerning
the automorphism groups of domains in CC^n, Proceedings of the 1989 Conference
in Cetraro (D. Struppa, ed.), 1991.
Convexity in complex analysis, Proceedings of Symposia in Pure Mathematics
v. 52, part 1, (E. Bedford, J. D'Angelo, R. Greene, and S. Krantz eds.), American
Mathematical Society, Providence, 1991, 119-137.
(with Der Chen Chang) H^p regularity for NIS operators on weakly pseudoconvex
domains of finite type in CC^2, Proceedings of Symposia in Pure
Mathematics v. 52, part 3, (E. Bedford, J. D'Angelo, R. Greene, and
S. Krantz eds.), American Mathematical Society, Providence, 1991, 35-53.
On the area inside a circle, Missouri Journal of Mathematics, 1992.
(with Norberto Salinas) Proper holomorphic mappings and the Cowen-Douglas
class, Proc. Am. Math. Soc., 1992.
(with Der Chen Chang and E. M. Stein) Hardy Spaces and Elliptic Boundary Value
Problems, Proceedings of a Conference in Honor of Walter Rudin, American Mathematical
Society, 1992.
(with Akio Kodama and Daowei Ma) A characterization of generalized complex ellipsoids
in CC^n and related results, Indiana Jour. Math., 1992.
(with Brian Blank, Fan Dashan, David Klein, Daowei Ma, and Myung Yull Pang),
The Kobayashi metric on a complex ellipsoid in CC^2, Experimental Math.
1(1992), 47-56.
(with Der Chen Chang and E. M. Stein), H^p theory on a smooth domain in RR^N
and applications to partial differential equations, Jour. Funct. Anal.
114(1993), 286-347.
(with X. Huang), A unique continuation problem for holomorphic mappings, Comm. P.D.E.
18(1993), 241-263.
(with Song-Ying Li) A note on Hardy spaces and functions of bounded mean oscillation
on domains in CC^n , Michigan Jour. Math. 41 (1994), 51-72.
Survey of some recent ideas concerning automorphism groups of domains, Proceedings
of a Conference in Honor of Pierre Dolbeault.
(with Song-Ying Li), Some remarks on the Corona problem on strongly pseudoconvex
domains in CC^n, Illinois Journal of Math. 39(1995), 323-349.
(with Daowei Ma and Chen Zhenhua), Optimal L^p estimates for the dbar-equation
complex on ellipsoids, Manuscripta Math., 1993.
(with Dan Burns), Rigidity of holomorphic mappings and a new Schwarz lemma
at at the boundary, preprint, Jour. of the A.M.S. 7(1994), 661-676.
Fundamentals of Harmonic Analysis on Domains in Complex Space, Proceedings
of Symposia in Pure Mathematics, American Mathematical Society, Providence, 1994.
(with Song-Ying Li), Explicit solutions for the corona problem with Lipschitz
data in the polydisc, Pacific Jour. Math. 174(1996), 443-458.
(with Xiaojun Huang), On a problem of Moser, Duke J. Math., Duke
Jour. Math. 78(1995), 213-228.
(with X. Huang, D. Ma, and Y. Pan), A Hopf lemma for holomorphic functions
and applications, Complex Variables 26(1995), 273-276.
(with Song-Ying Li), On decomposition theorems for Hardy spaces on domains in
CC^n and applications, Jour. Four. Anal. and Applics. 2(1995), 65-107.
(with Song-Ying Li), Duality theorems for Hardy and Bergman spaces on convex
domains of finite type in CC^n , Ann. Inst. Fourier Grenoble 45(1995), 1305-1327.
(with Jiye Yu), On the Bergman invariant and curvatures of the Bergman metric,
Illinois Jour. Math. 40(1996), 226-244.
(with Song-Ying Li and R. Rochberg), The effect of boundary geometry on Hankel
operators belonging to the trace ideals of Bergman spaces, Integral Eq. and
Op. Thy. 28(1997), 196-213.
(with Song-Ying Li), Hardy classes, integral operators, and duality on spaces
of homogeneous type, submitted.
(with Song-Ying Li), Area integral characterizations of functions in Hardy
spaces on domains in CC^n , Complex Variables 32(1997), 373-399.
(with Song-Ying Li), A proof of the Fefferman mapping theorem using the complex
Monge-Ampere equation, preprint.
(with Luigi Fontana and Marco Peloso), Hodge theory in the Sobolev topology for the
de Rham complex, Memoirs of the AMS, 1998.
Geometric Foundations for Analysis on Complex Domains, Proceedings of the 1994
Conference in Cetraro (D. Struppa, ed.), 1995.
(with Song-Ying Li and Richard Rochberg), Analysis of Some Function Spaces
Associated to Hankel Operators Ill. J. Math. 41(1997), 398-411.
(with Song-Ying Li and Richard Rochberg), The effect of boundary regularity on the
singular numbers of Friedrichs operators on Bergman spaces, Michigan Math. Jour.
43(1996), 337-348.
(with Song-Ying Li), Elliptic boundary value problems for the inhomogeneous
Laplace equation on bounded domains, submitted.
(with Song-Ying Li), Factorization of functions in subspaces of L^1 and applications
to the corona problem, Indiana Jour. 45(1996), 83-102.
(with M. M. Peloso and L. Fontana), The dbar-Neumann problem in the Sobolev topology
on a strongly pseudoconvex domain, Indiana Journal of Math., to appear.
(with S. Fu and A. Isaev), Finite type conditions on Reinhardt domains, Complex Variables
31(1996), 609-617.
(with S. Fu and A. Isaev), Reinhardt domains with non-compact automorphism groups,
Math. Research Letters 3(1996), 109-122.
(with S. Fu and A. Isaev), Examples of domains with non-compact automorphism groups,
Math. Research Letters 3(1996), 609-617.
(with A. Isaev) On the boundary orbit accumulation set for a domain with non-compact
automorphism group, Mich. Math. Jour. 43(1996), 611-617.
(with A. Isaev), Finitely smooth Reinhardt domains with non-compact automorphism
group, Illinois Math. Jour. 41(1997), 412-420.
(with A. Isaev), Hyperbolic Reinhardt domains in CC^2 with non-compact automorphism
group, Pacific Jour. Math., to appear.
(with Luigi Fontana and Marco Peloso), Hodge theory in the Sobolev topology,
Electronic Research Announcements of the American Mathematical Society 1(1995), 103-107.
(with A. Isaev), Domains with non-compact automorphism group: A Survey,
preprint.
(with K. T. Kim,), A crash course in the function theory of several complex
variables, Proceedings of the Conference on Several Complex Variables held in Pohang,
Korea, 1997, Contemporary Math., American Mathematical Society, to appear.
(with J. Gifford and A. V. Isaev), On the Dimensions
of the Automorphism Groups of Hyperbolic Reinhardt Domains,
Illinois Jour.\ Math 44(2000), 602-618.
(with M. Peloso), Sobolev Spaces and Projections of Holomorphic
Functions and Mappings,
Proceedings of a Conference on
Function Spaces}, S. Illinois University at Edwardsville,
Contemporary Math 232, American Mathematical Society, Providence,
1999, 219-231.
(with Luigi Fontana and Marco M.\ Peloso),
Estimates for the $\overline{\partial}$-Neumann problem in the Sobolev topology on $Z(q)$ domains,
Houston Math. Journal
27(2001), 123-175.
(with W. Cheung, S. Fu, and B. Wong), A smoothly bounded domain in a complex surface with
a compact quotient,
Math. Scand 91(2002), 82-90.
(with A. V. Isaev), Characterizations of
Reinhardt domains by their automorphism groups,
Proceedings of an International Conference on
Complex Variables held in Seoul, Korea, Journal
of the Korean Math. Society 37(2000), 297-308.
(with K. T. Kim), Complex scaling and domains with
non-compact automorphism group,
Illinois Journal of Math 45(2001), 1273-1299.
Fatou theorems old and new: an overview of the
boundary behavior of holomorphic functions,
Proceedings of an International Conference on Complex Variables held in Seoul, Korea,
Journal of the Korean Math. Society 37(2000), 139-175.
(with A. V. Isaev), On the automorphism groups of hyperbolic domains,
Jour. fur die Reine und
andgewandte Math 534(2001), 187-194.
(with A. V. Isaev), Invariant distances and metrics in complex analysis,
Notices} of the American Math. Society
47(2000), 546-553.
(with K. T. Kim), Characterization of the Hilbert ball by its automorphism group,
Trans. AMS 354(2002), 2797-2818.
(with B. Fridman, K. T. Kim, and D. Ma), On fixed points and determining sets for automorphisms,
Michigan Journal of Mathematics 50(2002), 507-515.
(with K. T. Kim) Some New Results on Domains in Complex
Space with Non-Compact Automorphism Group,
J. Math. Anal. Appl. 281(2003), 417-424.
A Matter of gravity, Amer. Math. Monthly 110(2003), 465-481.
Determination of a domain in complex space by its
automorphism group, Complex Variables Theory Appl 47(2002), 215-223.
(with H. Gaussier and K.-T. Kim) A note on the Wong-Rosay theorem in complex manifolds,
Complex Variables Theory Appl. 47(2002), 761-768.
(with K.-T. Kim) Normal families of holomorphic functions and mappings on a Banach space,
Expositiones Mathematicae 21(2003), 193-218.
(with K.-T. Kim and A. Spiro) Analytic polyhedra with noncompact automorphism group,
Journal fur die Reine und Angenwandte Mathematick, 2004, to appear.
(with K.-T. Kim) Determining sets and fixed points for holomorphic endomorphisms,
Functions spaces (Edwardsville, IL, 2002), 239-246, Contemp. Math. 328, Amer. Math. Soc.,
Providence, RI, 2003.
Correction to: ``Determination of a domain in
complex space by its automorphism group'' [Complex Var. Theory
Appl 47(2002), no. 3, 215-223; MR 2002m:32036].
Complex Var. Theory Appl. 48(2003), no. 7, 625-626.
(with Jeffery D. McNeal) Creating more convergent series,
Amer. Math. Monthly 111(2004), 32-38.
(with K.-T. Kim) The Bergman metric invariants and their boundary behavior,
Explorations in Complex and Riemannian Geometry, J. Bland, K.-T. Kim, S. G. Krantz eds., 139-151.
Contemp. Math. 332, Amer. Math. Soc., Providence, R.I., 2003.
Estimation of the Poisson kernel,
Journal of Math. Analysis and Applications, to appear.
(with J. Cima, I. Graham, and K.-T. Kim) The Carath\'{e}odory/Cartan/Kaup/Wu theorem in a separable
Hilbert space, submitted.
(with M. Peloso) The Bergman kernel and projection on non-smooth worm
domains, preprint.
(with B. Fridman, K.-T. Kim, and D. Ma) On determining
sets for holomorphic automorphisms, Rocky Mountain Jour. of Math.},
to appear.
(with John McCarthy and Harold R. Parks) Geometric
characterizations of centroids of simplices, Journal of
Mathematical Analysis and Applications}, to appear.
Two results on uniqueness of conformal mappings,
Complex Variables, to appear.
(with Joseph A. Cima, Ian R. Graham, and Kang-Tae Kim)
On the analyticity of the inverse to a holomorphic mapping
of Banach spaces, preprint.