Rough fractional integral operators on Morrey-Adams spaces

DOI10.7153/jmi-2022-16-30zbMath1494.42018OpenAlexW4285230527MaRDI QIDQ5093898

Daniel Salim, W. S. Budhi

Publication date: 2 August 2022

Published in: Journal of Mathematical Inequalities (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jmi-2022-16-30

zbMATH Keywords

Morrey spacefractional integral operatorMorrey-type spaceMorrey-Adams spacevanishing Morrey space

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) Fractional derivatives and integrals (26A33)

Related Items

Two-weight inequalities for Riesz potential and its commutators on weighted global Morrey-type spaces \(G{\mathcal M}_\omega^{p,\theta ,\phi} (\mathbb{R}^n)\) ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Fractional integrals on radial functions with applications to weighted inequalities
• Approximation in Morrey spaces
• Weighted inequalities on Morrey spaces for linear and multilinear fractional integrals with homogeneous kernels
• On the invariance of certain vanishing subspaces of Morrey spaces with respect to some classical operators
• Complex interpolation of predual spaces of general local Morrey-type spaces
• On Certain Convolution Inequalities
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• Rough fractional integral operators and beyond Adams inequalities
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces