Weighted criteria for generalized fractional maximal functions and potentials in Lebesgue spaces with variable exponent

DOI10.1080/10652460701445344zbMath1155.42307OpenAlexW2036945149MaRDI QIDQ5423817

Vakhtang Kokilashvili, Alexander Meskhi

Publication date: 31 October 2007

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460701445344

zbMATH Keywords

trace inequalitytwo-weight inequalityLebesgue spaces with variable exponentfractional maximal functionsgeneralized potentials

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)

Related Items

A trace inequality of Riesz potentials in variable exponent Orlicz spaces, Fractional and hypersingular operators in variable exponent spaces on metric measure spaces, Fractional integration and differentiation of variable order: an overview, Weighted kernel operators in variable exponent amalgam spaces, Positive kernel operators in \(L^{p(x)}\) spaces, New fractional maximal operators in the theory of martingale Hardy and Lebesgue spaces with variable exponents, Potential operators in variable exponent Lebesgue spaces: two-weight estimates, One-sided operators inL^p(x)spaces, On a two-weighted estimation of maximal operator in the Lebesgue space with variable exponent, Two-weight inequalities for fractional maximal functions and singular integrals in \(L^{p(\cdot)}\) spaces, Two-weight inequalities for the maximal operator in a Lebesgue space with variable exponent, Boundedness criteria for maximal functions and potentials on the half-space in weighted Lebesgue spaces with variable exponents, The maximal operator on weighted variable Lebesgue spaces

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