Boundedness of fractional operators in weighted variable exponent spaces with non doubling measures

DOI10.1007/s10587-010-0089-0zbMath1224.42060arXiv0907.5353OpenAlexW2043431279MaRDI QIDQ3073526

Gladis Pradolini, Oscar Salinas, Osvaldo Gorosito

Publication date: 11 February 2011

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.5353

zbMATH Keywords

non doubling measuresweighted spacevariable exponent

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25)

Related Items (10)

Unnamed Item ⋮ Variable Hardy spaces associated with operators satisfying Davies–Gaffney estimates on metric measure spaces of homogeneous type ⋮ The boundedness of fractional maximal operators on variable Lebesgue spaces over spaces of homogeneous type ⋮ Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators ⋮ Embeddings in grand variable exponent function spaces ⋮ Weighted estimates of variable kernel fractional integral and its commutators on vanishing generalized Morrey spaces with variable exponent ⋮ Weighted norm inequalities for the maximal operator on L^p(·) over spaces of homogeneous type ⋮ Hardy spaces with variable exponents on RD-spaces and applications ⋮ The Calderón operator and the Stieltjes transform on variable Lebesgue spaces with weights ⋮ Local fractional and singular integrals on open subsets

Cites Work

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• Fractional and hypersingular operators in variable exponent spaces on metric measure spaces
• Sobolev embeddings in metric measure spaces with variable dimension
• Weighted Norm Inequalities for Fractional Integrals
• Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
• Weighted Norm Inequalities for Fractional Integrals
• Maximal function on generalized Lebesgue spaces L^p(⋅)

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