scientific article

zbMath0597.32001MaRDI QIDQ3729290

Walter Rudin

Publication date: 1984

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

interpolationsetgrowthSchwarz lemmauniqueness theoremvarietiesharmonic functionsunit ballboundary behaviourinvariant Laplaciananalyticpeaknullalgebra of holomorphic functionsd-bar-equationinvariant kernelsdelta equationBochner- Martinelli kernelHpzero-varietiesPI-settangential Cauchy Riemann operators

Mathematics Subject Classification ID

Holomorphic mappings and correspondences (32H99) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Complex Lie groups, group actions on complex spaces (32M05) (overlinepartial) and (overlinepartial)-Neumann operators (32W05) (H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Boundary behavior of holomorphic functions of several complex variables (32A40) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Holomorphic functions of several complex variables (32A10) Algebras of holomorphic functions of several complex variables (32A38) Plurisubharmonic functions and generalizations (32U05) Global boundary behavior of holomorphic functions of several complex variables (32E35)

Related Items (16)

Smoothness of a holomorphic function and its modulus on the boundary of a polydisk ⋮ Invariant spaces and algebras of functions on the Heisenberg group ⋮ On reducibility of zero sets of entire functions of several variables ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On the existence of nontangential boundary values of pseudocontinuable functions ⋮ ON WEIGHTED SOLUTIONS OF $\overline{\partial}$-EQUATION IN THE UNIT DISC ⋮ Laplace and Hua Luogeng operators ⋮ Some problems of complex analysis in matrix Siegel domains ⋮ Smoothness of a holomorphic function in a ball and of its modulus on the sphere ⋮ Real parts of functional algebras ⋮ The Aizenberg formula in nonconvex domains and some of its applications ⋮ On weighted solutions to \(\overline{{\partial}} \)-equation in the upper half-plane ⋮ Lindelöf's theorem in \({\mathbb{C}}^ n\) ⋮ On a boundary Morera theorem for classical domains ⋮ Coefficient multipiers of Lipschitz functions

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