Commutator of Riesz potential in \(p\)-adic generalized Morrey spaces

DOI10.1007/s11464-018-0696-xzbMath1400.42015OpenAlexW2800890427WikidataQ129948298 ScholiaQ129948298MaRDI QIDQ1787123

Xiaojuan Wang, Ruiqing Ma, Hui Xia Mo

Publication date: 4 October 2018

Published in: Frontiers of Mathematics in China (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11464-018-0696-x

zbMATH Keywords

\(p\)-adic field\(p\)-adic generalized Campanato function\(p\)-adic Riesz potential

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items (8)

Estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Morrey-Herz spaces ⋮ \(p\)-adic Riesz potential and its commutators on Morrey-Herz spaces ⋮ Weighted estimates for bilinear square functions with non-smooth kernels and commutators ⋮ Weighted estimates for maximal operators, Riesz potential operators and commutators on \(p\)-adic Lebesgue and Morrey spaces ⋮ Calderón-Zygmund operators on Morrey and Hardy-Morrey spaces in locally compact Vilenkin groups ⋮ \(p\)-adic singular integrals and their commutators in generalized Morrey spaces ⋮ Singular integral operators for rearrangement-invariant Morrey spaces on local fields ⋮ Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels

Cites Work

• Hardy-Littlewood-Sobolev inequalities on \(p\)-adic central Morrey spaces
• Weighted \(p\)-adic Hardy operators and their commutators on \(p\)-adic central Morrey spaces
• Riesz potentials and explicit sums in arithmetic
• Analytic potential theory over the \(p\)-adics
• Boundedness of \(p\)-adic Hardy operators and their commutators on \(p\)-adic central Morrey and BMO spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Generalized fractional integrals in \(p\)-adic Morrey and Herz spaces
• A SIMPLE PROOF OF THE p-ADIC VERSION OF THE SOBOLEV EMBEDDING THEOREM
• Fourier Analysis on Local Fields. (MN-15)
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
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