An example of a space \(L^{p(\cdot)}\) on which the Cauchy-Leray-Fantappiè operator is not bounded

DOI10.1016/J.EXMATH.2016.06.004zbMath1375.32015OpenAlexW2413772378MaRDI QIDQ2407568

Aleksandr Rotkevich

Publication date: 6 October 2017

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.exmath.2016.06.004

zbMATH Keywords

Cauchy operatorLebesgue spaces with variable exponentsCauchy-Leray-Fantappiè operator

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) Singular integrals of functions in several complex variables (32A55)

Cites Work

• Lebesgue and Sobolev spaces with variable exponents
• An example of a space of \(L^{p(x)}\) on which the Hardy-Littlewood maximal operator is not bounded

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