On the Bergman theory for solenoidal and irrotational vector fields. II. Conformal covariance and invariance of the main objects

DOI10.1007/s11785-009-0030-4zbMath1232.37013OpenAlexW2069410266MaRDI QIDQ537668

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

Publication date: 20 May 2011

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

Full work available at URL: https://doi.org/10.1007/s11785-009-0030-4

zbMATH Keywords

quaternionic analysisvector fieldscategories and functorshyperholomorphic Bergman spacesquaternionic Möbius transformations

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Dynamics induced by flows and semiflows (37C10) 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 (5)

On a left-α-ψ-hyperholomorphic Bergman space ⋮ On Bergman spaces induced by a \(\mathbf{v}\)-Laplacian vector fields theory ⋮ On the Bergman theory for solenoidal and irrotational vector fields. II. Conformal covariance and invariance of the main objects ⋮ Bergman theory for the inhomogeneous Cimmino system ⋮ On the \(\psi\)-hyperholomorphic Besov space

Cites Work

• On the Bergman theory for solenoidal and irrotational vector fields. II. Conformal covariance and invariance of the main objects

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