Generalized fractional integrals in \(p\)-adic Morrey and Herz spaces

DOI10.1134/S2070046617010058zbMath1410.46058OpenAlexW2587604217MaRDI QIDQ2628721

Sergey S. Volosivets

Publication date: 2 June 2017

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

Full work available at URL: https://doi.org/10.1134/s2070046617010058

zbMATH Keywords

Riesz potential\(p\)-adic Herz space\(p\)-adic Morrey spacegeneralized fractional integral\(p\)-adic Campanato space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Related Items (5)

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 ⋮ Boundedness of \(p\)-adic singular integrals and multilinear commutator on Morrey-Herz spaces ⋮ Commutator of Riesz potential in \(p\)-adic generalized Morrey spaces ⋮ Weighted estimates for maximal operators, Riesz potential operators and commutators on \(p\)-adic Lebesgue and Morrey spaces

Cites Work

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• Fractional integral operators on Herz spaces for supercritical indices
• Maximal function and Riesz potential on \(p\)-adic linear spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• On functions of bounded mean oscillation
• 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
• On generalized fractional integrals

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