Weighted Morrey and weighted fractional Sobolev-Morrey spaces estimates for a large class of pseudo-differential operators with smooth symbols

DOI10.1007/s11868-016-0158-8OpenAlexW2316748864MaRDI QIDQ2401490

Ferit Gurbuz

Publication date: 1 September 2017

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-016-0158-8

zbMATH Keywords

maximal operatorpseudo-differential operator\(A_{p}\) weightsweighted Morrey spaceweighted fractional Sobolev-Morrey space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Pseudodifferential operators (47G30)

Related Items (5)

Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space ⋮ Multilinear BMO estimates for the commutators of multilinear fractional maximal and integral operators on the product generalized Morrey spaces ⋮ Maximal operators and singular integrals on the weighted Lorentz and Morrey spaces ⋮ Pseudodifferential operators with smooth symbols and their commutators on weighted Morrey spaces ⋮ Approximation by multivariate Baskakov-Kantorovich operators in Orlicz spaces

Cites Work

• A note on Riesz potentials
• Weighted Morrey spaces and a singular integral operator
• Weighted norm inequalities for maximal functions and singular integrals
• Weighted Norm Inequalities for Fractional Integrals
• Weighted Norm Inequalities for the Hardy Maximal Function
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
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