On some categories and functors in the theory of quaternionic Bergman spaces

DOI10.1007/s00006-009-0164-5zbMath1187.30045OpenAlexW2072511943MaRDI QIDQ833067

Maria Elena Luna-Elizarrarás, José Óscar González-Cervantes, Michael V. Shapiro

Publication date: 11 August 2009

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-009-0164-5

zbMATH Keywords

quaternionic analysiscategories and functorshyperholomorphic Bergman spacesquaternionic Möbius transformations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32)

Related Items (9)

On a left-α-ψ-hyperholomorphic Bergman space ⋮ On slice biregular functions and isomorphisms of Bergman spaces ⋮ The Bergman-Sce transform for slice monogenic functions ⋮ On some quaternionic series ⋮ On the conformal mappings and the global operator \(G\) ⋮ On Bergman spaces induced by a \(\mathbf{v}\)-Laplacian vector fields theory ⋮ Bergman theory for the inhomogeneous Cimmino system ⋮ The C-property for slice regular functions and applications to the Bergman space ⋮ On the \(\psi\)-hyperholomorphic Besov space

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