Armenian Journal of Mathematics, 12(11)
2022; 1–16
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On a family of weighted ¯¯¯ ∂ -integral representations in the unit disc

Feliks Hayrapetyan*

Received: 2024-12-10 · Published: 2022-09-02

© 2022 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
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Original title
On a family of weighted ¯¯¯ ∂ -integral representations in the unit disc
Author
Feliks Hayrapetyan
Source journal
Armenian Journal of Mathematics, 12(11)
Published
2022-09-02
Licence
Creative Commons Attribution 4.0 International
Original
https://doi.org/10.52737/18291163-2020.12.11-1-16

Abstract

For weighted LpLp-classess of C1C1-functions in the unit disc with weight function of the type |w|2γ⋅(1−|w|2ρ)α|w|2γ⋅(1−|w|2ρ)α, we obtain a family of weighted ¯¯¯∂∂¯-integral representations of the type f=P(f)−T(¯¯¯∂f)f=P(f)−T(∂¯f).
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