Two-weight inequalities for fractional maximal functions and singular integrals in \(L^{p(\cdot)}\) spaces

DOI10.1007/s10958-011-0265-2zbMath1226.47029arXiv1007.0868OpenAlexW2118620499MaRDI QIDQ549537

Vakhtang Kokilashvili, Alexander Meskhi

Publication date: 18 July 2011

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1007.0868

zbMATH Keywords

maximal functionHilbert transformHardy operatorsvariable exponent Lebesgue spacesfractional maximal functionsingular operatorlog-Hölder conditionSawyer criteriontwo-weighted estimates

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 (8)

Two-weight norm inequalities for some fractional type operators related to Schrödinger operator on weighted Morrey spaces ⋮ Weighted kernel operators in variable exponent amalgam spaces ⋮ Positive kernel operators in \(L^{p(x)}\) spaces ⋮ Two-weight inequalities for Riesz potential and its commutators on weighted global Morrey-type spaces \(G{\mathcal M}_\omega^{p,\theta ,\phi} (\mathbb{R}^n)\) ⋮ TWO-WEIGHTED INEQUALITIES FOR RIESZ POTENTIAL AND ITS COMMUTATORS IN GENERALIZED WEIGHTED MORREY SPACES ⋮ Weighted norm inequalities for the maximal operator on variable Lebesgue spaces ⋮ Two-weight norm inequality for the one-sided Hardy-Littlewood maximal operators in variable Lebesgue spaces ⋮ A characterization of two-weighted inequalities for maximal, singular operators and their commutators in generalized weighted Morrey spaces

Cites Work

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