On anisotropic Sobolev spaces
Functional Analysis
2017-10-04 v1
Abstract
We investigate two types of characterizations for anisotropic Sobolev and BV spaces. In particular, we establish anisotropic versions of the Bourgain-Brezis-Mironescu formula, including the magnetic case both for Sobolev and BV functions.
Keywords
Cite
@article{arxiv.1710.00917,
title = {On anisotropic Sobolev spaces},
author = {Hoai-Minh Nguyen and Marco Squassina},
journal= {arXiv preprint arXiv:1710.00917},
year = {2017}
}
Comments
10 pages