Two-weight boundedness for local fractional maximal and applications

DOI10.1007/S40879-023-00708-YMaRDI QIDQ6146097

Mauricio Ramseyer, Oscar Salinas, Marisa Toschi

Publication date: 10 January 2024

Published in: European Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

metric spacesfractional maximal functionlocal singular operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fractional derivatives and integrals (26A33)

Cites Work

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• Two-weight norm inequalities for the local maximal function
• Lipschitz functions on spaces of homogeneous type
• Singular integral operators with non-necessarily bounded kernels on spaces of homogeneous type
• Local fractional and singular integrals on open subsets
• Local maximal function and weights in a general setting
• Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type
• Commutators of singular integrals on spaces of homogeneous type
• Two-weight norm inequalities for the fractional maximal operator on spaces of homogeneous type
• Maximal operators on spaces of homogeneous type
• Two-weight norm inequalities for maximal operators and fractional integrals on non-homogenous spaces
• The boundedness of fractional maximal operators on variable Lebesgue spaces over spaces of homogeneous type
• Norm Convergence of Riesz-Bochner Means For Radial Functions

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