English

Sobolev Anisotropic inequalities with monomial weights

Functional Analysis 2019-10-22 v1

Abstract

We derive some anisotropic Sobolev inequalities in Rn\mathbb{R}^{n} with a monomial weight in the general setting of rearrangement invariant spaces. Our starting point is to obtain an integral oscillation inequality in multiplicative form.

Keywords

Cite

@article{arxiv.1910.08996,
  title  = {Sobolev Anisotropic inequalities with monomial weights},
  author = {Filomena Feo and Joaquim Martín and MRosaria Posteraro},
  journal= {arXiv preprint arXiv:1910.08996},
  year   = {2019}
}
R2 v1 2026-06-23T11:49:03.389Z