Inner functions and boundary values in \(H^\infty(\Omega)\) and \(A(\Omega)\) in smoothly bounded pseudoconvex domains

DOI10.1007/BF01181690zbMath0526.32017MaRDI QIDQ595072

Erik Løw

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173393

zbMATH Keywords

boundary valuesinner functionssmoothly bounded pseudoconvex domains

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Holomorphic functions of several complex variables (32A10) Holomorphic, polynomial and rational approximation, and interpolation in several complex variables; Runge pairs (32E30) Algebras of holomorphic functions of several complex variables (32A38) Pseudoconvex domains (32T99) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items

Gradients of inner functions in strictly pseudoconvex domains ⋮ Degenerate elliptic operators, Hardy spaces and diffusions on strongly pseudoconvex domains ⋮ Spectral approximation ⋮ Complete proper holomorphic embeddings of strictly pseudoconvex domains into balls ⋮ Minimum principle for bounded holomorphic functions in many-dimensional domains ⋮ About boundary values in $A(\Omega)$ ⋮ Maximum modulus sets in pseudoconvex boundaries ⋮ Exit times for elliptic diffusions and BMO ⋮ Bounded holomorphic functions with given maximum modulus on all circles ⋮ Proper holomorphic maps from weakly pseudoconvex domains ⋮ Unnamed Item ⋮ Approximation on slices in balanced strictly convex domains with \(C^2\) boundary ⋮ Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls

Cites Work

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