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Статья
2015

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


D. A. PolyakovaD. A. Polyakova
Русская математика
https://doi.org/10.3103/S1066369X15100096
Abstract / Full Text

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.

Author information
  • Southern Federal University, ul. Mil’chakova 8a, Rostov-on-Don, 344090, RussiaD. A. Polyakova
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