On the surjectivity of the convolution operator in spaces of holomorphic functions of a prescribed growth

DOI10.23671/VNC.2018.2.14713zbMath1464.46021MaRDI QIDQ4970040

T. M. Andreeva, Alexander V. Abanin

Publication date: 14 October 2020

Published in: Владикавказский математический журнал (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/vmj647

zbMATH Keywords

surjectivityweighted spacesconvolution operatorholomorphic functionsspaces of exponential-power growth

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces and algebras of analytic functions of one complex variable (30H99)

Cites Work

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• Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains
• Convolution operators in \(A^{-\infty}\) for convex domains
• Surjectivity criteria for convolution operators in \(A^{-\infty}\)
• On the range of convolution operators
• A division problem in the space of entire functions of exponential type
• Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces
• Continuation of holomorphic functions with growth conditions and some of its applications
• SPACES OF ANALYTIC FUNCTIONS OF PRESCRIBED GROWTH NEAR THE BOUNDARY
• Analytic Solutions of Convolution Equations on Convex Sets with an Obstacle in the Boundary

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