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The Bergman kernel for the Vekua equation
Author(s) -
Campos Hugo M.,
Kravchenko Vladislav V.
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6308
Subject(s) - bergman kernel , mathematics , bergman space , kernel (algebra) , projection (relational algebra) , operator (biology) , mathematical analysis , pure mathematics , bounded function , algorithm , gene , biochemistry , chemistry , repressor , transcription factor
The paper extends some well‐known results for analytic functions onto solutions of the Vekua equation ∂z‾ W = a W + b W ¯ regarding the existence and construction of the Bergman kernel and of the corresponding Bergman projection operator.