Estimate of the norm of a polyanalytic function via the norm of its polyharmonic component

DOI10.1023/B:MATN.0000023338.10651.dfzbMath1071.30043OpenAlexW1990315346MaRDI QIDQ1889640

A. K. Ramazanov

Publication date: 6 December 2004

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:matn.0000023338.10651.df

zbMATH Keywords

Hardy spacepolyharmonic functionpolyanalytic functionRiesz inequalityCauchy--Riemann equation

Mathematics Subject Classification ID

Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Generalizations of Bers and Vekua type (pseudoanalytic, (p)-analytic, etc.) (30G20)

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Cauchy and Poisson formulas for polyanalytic functions and applications

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