English

The $\infty$-Besov Capacity Problem

Analysis of PDEs 2017-05-30 v2

Abstract

A theory of \infty-Besov capacities is developed and several applications are provided. In particular, we solve an open problem in the theory of limits of the \infty-Besov semi-norms, we obtain new restriction-extension inequalities and we characterize the point-wise multipliers acting on the \infty-Besov spaces.

Keywords

Cite

@article{arxiv.1506.01901,
  title  = {The $\infty$-Besov Capacity Problem},
  author = {Mario Milman and Jie Xiao},
  journal= {arXiv preprint arXiv:1506.01901},
  year   = {2017}
}

Comments

17 pages made some corrections

R2 v1 2026-06-22T09:47:56.616Z