Weighted -integral representations of smooth functions in the unit ball ofCn

DOI10.1080/17476933.2011.605444zbMath1339.32002OpenAlexW1571457628MaRDI QIDQ5300211

Arman H. Karapetyan

Publication date: 26 June 2013

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476933.2011.605444

zbMATH Keywords

integral representationsunit ball in \(\mathbb C^n\), \(\overline{\partial}\) operator

Mathematics Subject Classification ID

Integral representations, constructed kernels (e.g., Cauchy, Fantappiè-type kernels) (32A26)

Related Items

ON WEIGHTED SOLUTIONS OF $\overline{\partial}$-EQUATION IN THE UNIT DISC ⋮ On weighted solutions to \(\overline{{\partial}} \)-equation in the upper half-plane

Cites Work

• Integral formulas for the \(\partial\overline\partial\)-equation and zeros of bounded holomorphic functions in the unit ball
• Formules explicites pour les solutions minimales de l'équation \(\overline\partial u=f\) dans la boule et dans le polydisque de \(\mathbb C^n\)
• Henkin-Ramirez kernels with weight factors
• Weighted<ovl>∂</ovl>-integral representations in matrix domains
• Valeurs au bord pour les solutions de l'opérateur $d^n$, et caractérisation des zéros des fonctions de la classe de Nevanlinna
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