Geodesic
On solvability of inhomogeneous Cauchy--Riemann equation in functional spaces with a~system of uniform estimates
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 77-82.

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We obtain an analog of the Hörmander theorem on solvability of the $\overline\partial$-problem in spaces of functions satisfying a system of uniform estimates. The result is formulated in terms of the weight sequence which determines the space. We give some applications for multipliers of projective and inductive-projective weight spaces of entire functions and for convolution operators in the Roumieu spaces of ultradifferentiable functions.
Keywords: inhomogeneous Cauchy–Riemann equation, projective weight spaces, convolution operators, ultradifferentiable functions.
Mots-clés : multipliers 
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D. A. Polyakova. On solvability of inhomogeneous Cauchy--Riemann equation in functional spaces with a~system of uniform estimates. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 10 (2015), pp. 77-82. http://geodesic.mathdoc.fr/item/IVM_2015_10_a8/

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