Singular operators in variable spaces Lp (·)(Ω, ρ) with oscillating weights

DOI10.1002/mana.200510542zbMath1144.42005OpenAlexW2171572782MaRDI QIDQ3592728

Natasha Samko, Vakhtang Kokilashvili, Stefan G. Samko

Publication date: 21 September 2007

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.200510542

zbMATH Keywords

weightsmaximal operatorvariable exponent Lebesgue spacesCarleson curvesCalderón-Zygmund singular operatorCauchy integral 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) Maximal functions, Littlewood-Paley theory (42B25) Linear operators on function spaces (general) (47B38)

Related Items (11)

Maximal, potential and singular operators in the local “complementary” variable exponent Morrey type spaces ⋮ Boundedness of some singular integrals operators in weighted generalized Grand Lebesgue spaces ⋮ Boundary value problems and singular integral equations on Banach function spaces ⋮ Singular integral operators on weighted variable exponent Lebesgue spaces on composed Carleson curves ⋮ Toeplitz operators on abstract Hardy spaces built upon Banach function spaces ⋮ Pseudodifferential operators approach to singular integral operators in weighted variable exponent Lebesgue spaces on Carleson curves ⋮ Approximation of functions in $ L^{p(x)}_{2\pi}$ by trigonometric polynomials ⋮ Operators of harmonic analysis in weighted spaces with non-standard growth ⋮ The maximal operator on weighted variable Lebesgue spaces ⋮ Nondivergence parabolic equations in weighted variable exponent spaces ⋮ The Cauchy Singular Integral Operator on Weighted Variable Lebesgue Spaces

Cites Work

• Calderón-Zygmund operators on generalized Lebesgue spaces Lp(⋅) and problems related to fluid dynamics

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