Localization of spherical and radial nonlocal anisotropic gradients
(2022) Cornwell University — p. 19 (2022)
Files
Arroyo-Localizationofspherical2022.pdf
Open Access - Adobe PDF
- 206.18 KB
Details
- Authors
- Abstract
- We establish nonlocal difference quotient representations for the $L^p$ and total variation norms of distributions $\mathcal{A}u$, where $u$ is a distribution, and $\mathcal{A}$ is a constant coefficient homogeneous first-order linear differential operator. Our results provide a criterion for the boundedness of $\mathcal{A}$-gradients that does not require the use of distributional derivatives.
- Affiliations
Citations
Arroyo Rabasa, A. (2022). Localization of spherical and radial nonlocal anisotropic gradients. Cornwell University, 19. https://doi.org/10.48550/arXiv.2210.13161 (Original work published 2022)