On weighted solutions to \(\overline{{\partial}} \)-equation in the upper half-plane

DOI10.3103/S1068362321050046zbMath1478.32118OpenAlexW3212418104WikidataQ114039177 ScholiaQ114039177MaRDI QIDQ2052737

A. A. Karapetyan, F. V. Hayrapetyan, Arman H. Karapetyan

Publication date: 26 November 2021

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362321050046

zbMATH Keywords

\( \overline{\partial} \)-equation in the half planeweighted spaces of smooth functions

Mathematics Subject Classification ID

(overlinepartial) and (overlinepartial)-Neumann operators (32W05) Inequalities in the complex plane (30A10)

Cites Work

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• \(L^\infty\) estimates for the \(\bar\partial\) problem in a half-plane
• Formules explicites pour les solutions minimales de l'équation \(\overline\partial u=f\) dans la boule et dans le polydisque de \(\mathbb C^n\)
• Integral representations for some classes of functions holomorphic in a Siegel domain
• The weighted integral representations of functions in the polydisc and in the space \(\mathbb{C}^ n\)
• Weighted integral representations of smooth or holomorphic functions in the unit disk and in the complex plane
• Weighted<ovl>∂</ovl>-integral representations in matrix domains
• A solution of the $ \overline\partial$-equation with an estimate in tubular domains
• COMPLEX GEOMETRY AND INTEGRAL REPRESENTATIONS IN THE FUTURE TUBE
• Integral Representations for Riesz Systems in the Unit Ball and some Applications
• Functions of α-Bounded Type in the Half-Plane
• ON WEIGHTED SOLUTIONS OF $\overline{\partial}$-EQUATION IN THE UNIT DISC
• Weighted -integral representations of smooth functions in the unit ball ofCⁿ

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