Convolution algebras with weighted rearrangement-invariant norm

DOI10.4064/sm-108-2-103-126zbMath0838.46020OpenAlexW958797832MaRDI QIDQ4325316

Ron Kerman, Eric T. Sawyer

Publication date: 6 June 1996

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/216044

zbMATH Keywords

convolution productalgebraLebesgue, Lorentz or Orlicz spacesrearrangement-invariant space of Lebesgue-measurable functions

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) Convolution, factorization for one variable harmonic analysis (42A85)

Related Items

Weighted \(L_p\)-algebras on groups, On weighted \(\ell^p\)-convergence of Fourier series: a variant of theorems of Wiener and Lévy, On harmonic Hilbert spaces on compact abelian groups, Harmonic analysis of weighted \(L^p\)-algebras, Sharp weighted convolution inequalities and some applications, Weighted convolution inequalities for radial functions, Convolution inequalities in Lorentz spaces, Example of a weighted algebra \(\mathcal L_p^w(G)\) on an uncountable discrete group, Weighted Young-type inequalities on locally compact groups, Convolution operators on weighted spaces of continuous functions and supremal convolution