On a left-α-ψ-hyperholomorphic Bergman space

Given a structural set , some papers [M. Shapiro, V. Vasilevski, (Complex Var Theory Appl. 1995;27:17-46 and 1995;27:67-96)] study the quaternionic ψ-Fueter operator calculus, where the Fueter-type operator is The aim of this paper is to present the function theory and the Bergman theory induced by...

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Veröffentlicht in:Complex variables and elliptic equations Jg. 68; H. 2; S. 222 - 236
1. Verfasser: González-Cervantes, J. Oscar
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Colchester Taylor & Francis 01.02.2023
Taylor & Francis Ltd
Schlagworte:
conformally covariant property
Operators (mathematics)
quaternionic reproducing kernel
Quaternionic weighted Bergman spaces
α-hyperholomorphy function theory
ISSN:1747-6933, 1747-6941
Online-Zugang:Volltext
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Zusammenfassung:Given a structural set , some papers [M. Shapiro, V. Vasilevski, (Complex Var Theory Appl. 1995;27:17-46 and 1995;27:67-96)] study the quaternionic ψ-Fueter operator calculus, where the Fueter-type operator is The aim of this paper is to present the function theory and the Bergman theory induced by the ψ-Fueter-type operator: where a is a quaternionic constant and f is a continuously differentiable function. Particularly, this work shows the Stokes and Borel-Pompieu formulas associated to and presents several results of the Bergman theory such as the existence of the Bergman kernel, Bergman projection and their conformal covariant properties.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1747-6933
1747-6941
DOI:10.1080/17476933.2021.1986033