2017; Physical and Mathematical Sciences, 51(1 (242): 3–7
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WEIGHTED SPACES OF FUNCTIONS HARMONIC IN THE UNIT BALL

A Petrosyan*

Received: 2025-02-06 · Published: 2017-03-20

© 2017 The Author(s) and the original publisher.

CC BY-NC 4.0 This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
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Original title
WEIGHTED SPACES OF FUNCTIONS HARMONIC IN THE UNIT BALL
Author
A Petrosyan
Published
2017-03-20
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2017.51.1.003

Abstract

We introduce the Banach spaces h∞(φ), h0(φ) and h1(ψ) functions harmonic in the unit ball B⊂Rn. These spaces depend on weight functions φ, ψ. We prove that if φ and ψ form a normal pair, then h1(ψ)∗∼h∞(φ) and h0(φ)∗∼h1(ψ).
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