Video library: F. V. Hayrapetyan, On weighted solutions of $d$-equation in the complex plane $\mathbb C$

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Contemporary methods in approximation theory and complex analysis November 13, 2023 17:15, Moscow, Steklov Institute, room 910

On weighted solutions of $d$-equation in the complex plane $\mathbb C$ F. V. Hayrapetyan Yerevan State University, Faculty of Mathematics and Mechanics
Abstract: An equation $\partial f(z)/\partial \overline{z} = g(z)$ in the complex plane $\mathbb C$ is considered. For functions $g \in C^k(\mathbb C)$ ($k = 1,2,3,\dots, \infty$) satisfying certain growth condition at infinity, solutions are given in an explicit form. Moreover, the solutions are estimated at infinity.