Convolution-continuous bilinear operators acting on Hilbert spaces of integrable functions

DOI10.1215/20088752-2017-0034OpenAlexW4229604745MaRDI QIDQ1751979

Enrique Alfonso Sánchez-Pérez, Ezgi Erdogan, Jose M. Calabuig

Publication date: 25 May 2018

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.afa/1512529265

zbMATH Keywords

Fourier transformconvolutionsummabilityfactorizationbilinear operator

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Multilinear and polynomial operators (47H60) Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups (43A25)

Related Items (6)

Factorization of multilinear operators defined on products of function spaces ⋮ Product factorable multilinear operators defined on sequence spaces ⋮ A spectral theorem for bilinear compact operators in Hilbert spaces ⋮ Convolution factorability of bilinear maps and integral representations ⋮ Product factorability of integral Bilinear operators on Banach function spaces ⋮ Schmidt representation of bilinear operators on Hilbert spaces

Cites Work

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• Surveying the spirit of absolute summability on multilinear operators and homogeneous polynomials
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• Translation-invariant bilinear operators with positive kernels
• Fourier analysis with respect to bilinear maps
• Generalized \(l^p\) spaces and the Schur property
• Generalized convolutions and the integral equations of the convolution type
• Inclusions and Noninclusion of Spaces of Convolution Operators
• Convolutions as Bilinear and Linear Operators

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