Solvability of inhomogeneous Cauchy–Riemann equation in spaces of functions with a system of uniform weight estimates

被引：1

作者：

Polyakova D.A. ^{[1
]}

机构：

[1] Southern Federal University, ul. Mil’chakova 8a, Rostov-on-Don

来源：

Russian Mathematics | 2015年 / 59卷 / 10期

基金：

俄罗斯基础研究基金会;

关键词：

convolution operators; inhomogeneous Cauchy–Riemann equation; multipliers; projective weight spaces; ultradifferentiable functions;

D O I：

10.3103/S1066369X15100096

中图分类号：

学科分类号：

摘要：

We obtain an analog of the Hörmander theoremon solvability of the $$overline partial $$-problemin spaces of functions satisfying a system of uniform estimates. The result is formulated in terms of the weight sequence determining the space. We apply the results for multipliers of projective and inductiveprojective weight spaces of entire functions and for convolution operators in the Roumieu spaces of ultradifferentiable functions. © 2015, Allerton Press, Inc.

引用

页码：65 / 69

页数：4

共 15 条

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