Maximal function and Riesz potential on \(p\)-adic linear spaces

DOI10.1134/S2070046613030059zbMath1284.42044MaRDI QIDQ2440382

Sergey S. Volosivets

Publication date: 18 March 2014

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

zbMATH Keywords

maximal functionRiesz potential\(p\)-adic Morrey space\(L^q\) Lebesgue point

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (8)

Generalized fractional integrals in \(p\)-adic Morrey and Herz spaces ⋮ \(p\)-adic Riesz potential and its commutators on Morrey-Herz spaces ⋮ Boundedness of \(p\)-adic singular integrals and multilinear commutator on Morrey-Herz spaces ⋮ Hardy-Littlewood-Sobolev inequalities on \(p\)-adic central Morrey spaces ⋮ Two-weighted estimates for p-adic Riesz potential and its commutators on Morrey–Herz spaces ⋮ Weighted estimates for maximal operators, Riesz potential operators and commutators on \(p\)-adic Lebesgue and Morrey spaces ⋮ \(p\)-adic singular integrals and their commutators in generalized Morrey spaces ⋮ Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels

Cites Work

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• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• The modifiedP-integral andP-derivative and their applications
• Fourier Analysis on Local Fields. (MN-15)
• L^P- Continuity of riesz potentials
• Hardy-Littlewood Maximal Operator, Singular Integral Operators and the Riesz Potentials on Generalized Morrey Spaces
• Some Maximal Inequalities

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