Convolution operators induced by approximate identities and pointwise convergence in 𝐿_{𝑝}(ℝ) spaces

DOI10.1090/S0002-9939-04-07494-5zbMath1068.47033MaRDI QIDQ4819727

Parthena Avramidou

Publication date: 5 October 2004

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Lebesgue spaceconvolution operatorapproximate identityperturbed approximate identity

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) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38) Convolution, factorization for one variable harmonic analysis (42A85)

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