Convolution operators in \(A^{-\infty}\) for convex domains

DOI10.1007/s11512-011-0146-4zbMath1254.32009OpenAlexW2128160786MaRDI QIDQ691136

Alexander V. Abanin, Le Hai Khoi, Ryuichi Ishimura

Publication date: 29 November 2012

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-011-0146-4

zbMATH Keywords

spaces of holomorphic functionsconvolution operatorsbounded convex domains in \(\mathbb C^n\)

Mathematics Subject Classification ID

Linear operators on function spaces (general) (47B38) Banach spaces of continuous, differentiable or analytic functions (46E15) Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37)

Related Items

Solvability of the inhomogeneous Cauchy-Riemann equation in projective weighted spaces, Generalized spherical mean value operators on Euclidean space, Sufficient sets in weighted Fréchet spaces of entire functions, Extension of solutions of convolution equations in spaces of holomorphic functions with polynomial growth in convex domains, Linear continuous right inverse to convolution operator in spaces of holomorphic functions of polynomial growth, On the surjectivity of the convolution operator in spaces of holomorphic functions of a prescribed growth

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