Fractional operators in \(p\)-adic variable exponent Lebesgue spaces and application to \(p\)-adic derivative
DOI10.1155/2021/3096701zbMath1492.47106OpenAlexW3200088889MaRDI QIDQ2236412
Humberto Rafeiro, Leonardo Fabio Chacón-Cortés
Publication date: 22 October 2021
Published in: Journal of Function Spaces (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2021/3096701
boundednessnonhomogeneous Cauchy problem\(p\)-adic variable exponent Lebesgue spacesfractional matrix operator
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Fractional derivatives and integrals (26A33) Operator theory over fields other than (mathbb{R}), (mathbb{C}) or the quaternions; non-Archimedean operator theory (47S10)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Lebesgue and Sobolev spaces with variable exponents
- Maximal functions and weighted norm inequalities on local fields
- Variable exponent Lebesgue spaces and Hardy-Littlewood maximal function on \(p\)-adic numbers
- On time flows of minimizers of general convex functionals of linear growth with variable exponent in BV space and stability of pseudosolutions
- Modeling, mathematical and numerical analysis of electrorheological fluids.
- On stationary thermo-rheological viscous flows
- The fractional maximal operator and fractional integrals on variable \(L^p\) spaces
- Regularity of minima: an invitation to the dark side of the calculus of variations.
- Overview of differential equations with non-standard growth
- On \(p\)-adic mathematical physics
- A nonstandard smoothing in reconstruction of apparent diffusion coefficient profiles from diffusion weighted images
- New diffusion models in image processing
- Regularity results for electrorheological fluids: The stationary case
- Regularity results for stationary electro-rheological fluids
- Graduated adaptive image denoising: Local compromise between total variation and isotropic diffusion
- On a non-linear model for image noise reduction
- Weighted Norm Inequalities for Fractional Integrals
- Fourier Analysis on Local Fields. (MN-15)
- p-adic description of characteristic relaxation in complex systems
- Über konjugierte Exponentenfolgen
- Extension of range of functions
- Variable Exponent, Linear Growth Functionals in Image Restoration
This page was built for publication: Fractional operators in \(p\)-adic variable exponent Lebesgue spaces and application to \(p\)-adic derivative