English

On Kato-Sobolev type spaces

Analysis of PDEs 2013-11-12 v2 Functional Analysis

Abstract

We study an increasing family of spaces Bkp1p{\mathcal{B}_{k}^{p}}_{1\leq p\leq \infty} by adapting the techniques used in the study of Beurling algebras by Coifman and Meyer (1978). A weak form Wiener-Levy theorem is proved based on an integral representation formula belonging A. P. Calder\'{o}n. Also we study the Schatten-von Neumann properties of pseudo-differential operators with symbols in the spaces B\mathcal{B}%_{k}^{p} spaces.

Keywords

Cite

@article{arxiv.1209.6465,
  title  = {On Kato-Sobolev type spaces},
  author = {Gruia Arsu},
  journal= {arXiv preprint arXiv:1209.6465},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1110.6337

R2 v1 2026-06-21T22:12:41.169Z