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Differential operators for a scale of Poisson type kernels in the unit disc

Author

Summary, in English

In this paper, we introduce a scale of differential operators which is shown to correspond canonically to a certain scale of solution kernels generalizing the classical Poisson kernel for the unit disc. The scale of kernels studied is very natural and appears in many places in mathematical analysis, such as in the theory of integral representations of biharmonic functions in the unit disc.

Publishing year

2014

Language

English

Pages

227-249

Publication/Series

Journal d'Analyse Mathematique

Volume

123

Document type

Journal article

Publisher

Magnes Press

Topic

  • Mathematics

Status

Published

ISBN/ISSN/Other

  • ISSN: 1565-8538