WEIGHTED CLASSES OF HARMONIC FUNCTIONS $b^p_\alpha$

A. I. Petrosyan

doi:10.46991/PYSU:A/2008.42.1.003

WEIGHTED CLASSES OF HARMONIC FUNCTIONS $b^p_\alpha$

Authors

A. I. Petrosyan Chair of the Theory of Functions, YSU, Armrnia

DOI:

https://doi.org/10.46991/PYSU:A/2008.42.1.003

Keywords:

weighted spaces, unit ball, harmonic

Abstract

In the paper the weighted spaces $b^p_\alpha(B)$ of functions harmonic in the unit ball $B\subset\mathbb{R}^n$ are introduced. The reproducing kernel $K\alpha$ is constructed by means of which for functions belonging to $b^p_\alpha(B)$ the integral representation is obtained.

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Published

2023-09-06

How to Cite

Petrosyan, A. I. (2023). WEIGHTED CLASSES OF HARMONIC FUNCTIONS $b^p_\alpha$. Proceedings of the YSU A: Physical and Mathematical Sciences, 42(1 (215), 3–9. https://doi.org/10.46991/PYSU:A/2008.42.1.003