Hyperholomorphic Bergman spaces and Bergman operators associated with domains in \(\mathbb C^2\)

DOI10.1007/s11785-008-0057-yzbMath1159.30030OpenAlexW2012543782MaRDI QIDQ941078

José Óscar González-Cervantes, Michael V. Shapiro

Publication date: 4 September 2008

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11785-008-0057-y

zbMATH Keywords

quaternionic analysisBergman kernelsquaternionic Möbius transformations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Abstract operator algebras on Hilbert spaces (47L30) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (7)

On a left-α-ψ-hyperholomorphic Bergman space ⋮ A FRACTIONAL BOREL–POMPEIU-TYPE FORMULA FOR HOLOMORPHIC FUNCTIONS OF TWO COMPLEX VARIABLES ⋮ On hyperholomorphic Bergman type spaces in domains of \(\mathbb{C}^2\) ⋮ On some quaternionic series ⋮ On the conformal mappings and the global operator \(G\) ⋮ Reconstruction of solutions to a generalized Moisil-Teodorescu system in Jordan domains with rectifiable boundary ⋮ Bergman theory for the inhomogeneous Cimmino system

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