Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications

DOI10.1215/20088752-2017-0056zbMath1400.42010OpenAlexW2786666144MaRDI QIDQ1790506

Alberto Fiorenza, Vakhtang Kokilashvili

Publication date: 2 October 2018

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

Full work available at URL: https://projecteuclid.org/euclid.afa/1517886227

zbMATH Keywords

Riemann boundary value problemCauchy singular integral operatorCalderón-Zygmund singular integralsCarleson curveMuckenhoupt \(A_{p}\) class

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 and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (7)

Weighted grand mixed-norm Lebesgue spaces and boundedness criteria for integral operators ⋮ Weighted grand Lebesgue space with a mixed norm and integral operators ⋮ Boundary value problems for analytic functions with boundary data from grand Lebesgue spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Modulars from Nakano onwards

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Grand Lebesgue spaces with respect to measurable functions
• Grand Sobolev spaces and their applications in geometric function theory and PDEs
• Integral operators in non-standard function spaces. Volume 2: Variable exponent Hölder, Morrey-Campanato and Grand spaces
• Weighted Hardy spaces
• On the integrability of the Jacobian under minimal hypotheses
• Inverting the \(p\)-harmonic operator
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Pointwise estimates for \(G\Gamma\)-functions and applications.
• Some estimates in \(G\Gamma (p,m,w)\) spaces
• Cauchy integrals on Lipschitz curves and related operators
• Sobolev imbedding theorems in borderline cases

This page was built for publication: Nonlinear harmonic analysis of integral operators in weighted grand Lebesgue spaces and applications