\(L^p\) properties of non-Archimedean fractional differentiation operators
DOI10.1007/s11868-021-00428-5OpenAlexW3201671632MaRDI QIDQ825100
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
non-Archimedean local fieldfractional differentiation operatorRiesz potentialsprincipal value operator
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)
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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