\(L^p\) properties of non-Archimedean fractional differentiation operators

DOI10.1007/s11868-021-00428-5OpenAlexW3201671632MaRDI QIDQ825100

Anatoly N. Kochubei

Publication date: 17 December 2021

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

Full work available at URL: https://arxiv.org/abs/2107.00889

zbMATH Keywords

non-Archimedean local fieldfractional differentiation operatorRiesz potentialsprincipal value operator

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Pseudodifferential operators (47G30) Fractional ordinary differential equations (34A08)

Related Items (1)

The Vladimirov-Taibleson operator: inequalities, Dirichlet problem, boundary Hölder regularity

Cites Work

• Radial solutions of non-Archimedean pseudodifferential equations
• Tables of integrals for complex-valued functions of \(p\)-adic arguments
• The existence of natural field structures for finite dimensional vector spaces over local fields
• Oscillating heat kernels on ultrametric spaces
• Nonlinear pseudo-differential equations for radial real functions on a non-Archimedean field
• Non-Archimedean radial calculus: Volterra operator and Laplace transform
• Isotropic Markov semigroups on ultra-metric spaces
• Fourier Analysis on Local Fields. (MN-15)
• ON SPACES OF RIESZ POTENTIALS
• Ultrametric Pseudodifferential Equations and Applications
• Fractional Differential Equations
• Classical Fourier Analysis
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