Riesz potential, Marcinkiewicz integral and their commutators on mixed Morrey spaces

DOI10.2298/FIL2003931SzbMath1499.31011MaRDI QIDQ5865743

Andrea Scapellato

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

integral operatorscommutatorsmixed Morrey spaces

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Implicit function theorems, Jacobians, transformations with several variables (26B10) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

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Semilinear fractional evolution inclusion problem in the frame of a generalized Caputo operator ⋮ Embedding and Volterra integral operators on a class of Dirichlet-Morrey spaces ⋮ Sharp function estimates and boundedness for Toeplitz-type operators associated with general fractional integral operators ⋮ Necessary and sufficient condition for the boundedness of the Gegenbauer-Riesz potential on Morrey spaces ⋮ Generalized fractional integral inequalities for MT-non-convex and \(pq\)-convex functions ⋮ Boundedness for the modified fractional integral operator from mixed Morrey spaces to the bounded mean oscillation space and Lipschitz spaces ⋮ Existence results for convection‐reaction fractional problem involving the distributional Riesz derivative ⋮ Parametric Marcinkiewicz integral and its higher-order commutators on variable exponents Morrey-Herz spaces

Cites Work

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• On functions of bounded mean oscillation
• On the Functions of Littlewood-Paley, Lusin, and Marcinkiewicz
• A note on the Marcinkiewicz integral
• Functions of Vanishing Mean Oscillation
• Commutators of parametric Marcinkiewicz integrals on generalized Orlicz-Morrey spaces
• CAUCHY–DIRICHLET PROBLEM ASSOCIATED TO DIVERGENCE FORM PARABOLIC EQUATIONS
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
• Operators with Gaussian kernel bounds on mixed Morrey spaces
• Hölder regularity for solutions of ultraparabolic equations in divergence form
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