2021; Physical and Mathematical Sciences, 55(1 (254): 20–28
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ON WEIGHTED SOLUTIONS OF ∂-EQUATION IN THE UNIT DISC

Feliks Hayrapetyan*

Received: 2025-01-27 · Published: 2021-05-21

© 2021 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
ON WEIGHTED SOLUTIONS OF ∂-EQUATION IN THE UNIT DISC
Author
Feliks Hayrapetyan
Published
2021-05-21
Licence
Creative Commons Attribution-NonCommercial 4.0 International
Original
https://doi.org/10.46991/PYSU:A/2021.55.1.020

Abstract

n the paper an equation∂g(z)/∂z=v(z)is considered in the unit discD.ForCk-functionsv(k=1,2,3,...,∞)from weightedLp-classes(1≤p<∞)with weight functions of the type|z|2γ(1−|z|2ρ)α,z∈D, a familygβof solutionsis constructed (βis a complex parameter).
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