The Hadamard-Bergman convolution on the half-plane

DOI10.1007/S00041-024-10097-9MaRDI QIDQ6573619

Alexey N. Karapetyants, Armen Vagharshakyan

Publication date: 17 July 2024

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

spaces of holomorphic functionsLaplace-Fourier transformHadamard-Bergman convolution

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) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Cites Work

• Embeddings of weighted Sobolev spaces and generalized Caffarelli-Kohn-Nirenberg inequalities
• Weighted estimates for operators of fractional integration of variable order in generalized variable Hölder spaces
• Hadamard-Bergman convolution operators
• Variable order fractional integrals in variable generalized Hölder spaces of holomorphic functions
• A Paley-Wiener theorem for Bergman spaces with application to invariant subspaces
• Hadamard-Bergman operators on weighted spaces
• Boundedness of Hadamard-Bergman and variable Hadamard-Bergman convolution operators
• Functions of Omega-Bounded Type
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