A continuous linear right inverse of the representation operator and applications to the convolution operators

DOI10.1007/BF00971241zbMath0833.47044OpenAlexW2067167327MaRDI QIDQ1903844

Sergej N. Melikhov, Yu. F. Korobeĭnik

Publication date: 12 March 1996

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971241

zbMATH Keywords

continuous linear right inversesurjective convolution operator whose characteristic function is an entire function of exponential typesurjective representation operator defined on a Köthe space of special type

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Integral operators (47G10) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (3)

Analytic solutions of convolution equations on convex sets in the complex plane with an open obstacle on the boundary ⋮ Shrinking and boundedly complete Schauder frames in Fréchet spaces ⋮ Coefficients of exponential series for analytic functions and the Pommiez operator

Cites Work

• Solution operators for partial differential equations in weighted Gevrey spaces
• Convex univalent functions and continuous linear right inverses
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