A-measures on complex manifolds and some applications

DOI10.1016/0022-1236(72)90061-4zbMath0245.32008OpenAlexW2085545332MaRDI QIDQ2555194

R. Michael Range, Brian J. Cole

Publication date: 1972

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(72)90061-4

Mathematics Subject Classification ID

Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Algebras of holomorphic functions of several complex variables (32A38) Pseudoconvex domains (32T99) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items

Clark measures and de Branges–Rovnyak spaces in several variables, Corona theorem for strictly pseudoconvex domains, Duality, convexity and peak interpolation in the Drury-Arveson space, Toeplitz Operators and Related Function Algebras on Certain Pseudoconvex Domains, Absolute continuity for commuting row contractions, Comparison of Clark Measures in Several Complex Variables, On the multiplication tuples related to certain reproducing kernel Hilbert spaces, The F. and M. Riesz' theorem and Carathéodory domains, The Pełczyński property for tight subspaces, Generalization of the F. and M. Riesz theorem and the existence of a multidimensional Carleman formula, Inner functions and boundary values in \(H^\infty(\Omega)\) and \(A(\Omega)\) in smoothly bounded pseudoconvex domains, Non-commutative measure theory: Henkin and analytic functionals on \(\mathrm{C}^*\)-algebras, Ideals in a multiplier algebra on the ball, Rational Approximation on Product Sets, Pluriharmonic Clark measures and analogs of model spaces, -APPROXIMATION OF HOLOMORPHIC FUNCTIONS ON A CLASS OF CONVEX DOMAINS, TOTALLY NULL SETS FOR A(X), Dual algebras and A-measures, Une extension d'un résultat de W. Rudin, Clark measures on the complex sphere, Les A-mesures sur le tore de deux dimensions et le calcul symbolique de deux contractions permutables, The unit ball of the predual of $H^\infty (\mathbb {B}_d)$ has no extreme points, Boundary properties of holomorphic functions of several complex variables, Domains with pseudoconvex neighborhood systems, Holomorphic approximation to boundary value algebras, Analytic functionals for the non-commutative disc algebra, GKS decomposition and spherical dilations, Holomorphic approximation near strictly pseudoconvex boundary points, Tight uniform algebras and algebras of analytic functions, Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls

Cites Work

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• Bounded approximation and Dirichlet sets
• Approximation by holomorphic functions on certain product sets in C\(^N\)
• On Some Hypo-Dirichlet Algebras of Analytic Functions
• INTEGRAL REPRESENTATIONS OF FUNCTIONS HOLOMORPHIC IN STRICTLY PSEUDO-CONVEX DOMAINS AND SOME APPLICATIONS
• Hölder and L^p estimates for solutions of ∂u = f in strongly pseudoconvex domains
• Integral Representation Formulas and $L^p$-Estimates for the $\bar{\partial}$-Equation.
• The abstract F. and M. Riesz theorem