On singular integral operators with semi-almost periodic coefficients on variable Lebesgue spaces

DOI10.1016/j.jmaa.2011.06.066zbMath1244.47041arXiv1105.0407OpenAlexW2024109366MaRDI QIDQ719606

Alexei Yu. Karlovich, Ilya M. Spitkovskij

Publication date: 10 October 2011

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

Full work available at URL: https://arxiv.org/abs/1105.0407

zbMATH Keywords

singular integralsalmost-periodic functionsslowly oscillating functionsvariable Lebesgue spaceFredholm theory for singular integral operatorssemi-almost periodic coefficients

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Classical almost periodic functions, mean periodic functions (42A75) Integral operators (47G10) Integral equations with kernels of Cauchy type (45E05) Almost periodic functions on groups and semigroups and their generalizations (recurrent functions, distal functions, etc.); almost automorphic functions (43A60)

Related Items (4)

Invertibility characterization of Wiener-Hopf plus Hankel operators on variable exponent Lebesgue spaces via even asymmetric factorization ⋮ The generalized Cauchy index of some semi-almost periodic functions ⋮ Semi-almost periodic Fourier multipliers on rearrangement-invariant spaces with suitable Muckenhoupt weights ⋮ Fredholmness and index of simplest weighted singular integral operators with two slowly oscillating shifts

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