English

On embedding theorems of spaces of functions with mixed logarithmic smoothness

Classical Analysis and ODEs 2023-08-15 v1

Abstract

The article considers the Lorentz space Lp,τ(Tm)L_{p,\tau}(\mathbb{T}^{m}), 2π2\pi of periodic functions of many variables and spaces with mixed logarithmic smoothness. Equivalent norms of a space with mixed logarithmic smoothness are found and embedding theorems are proved.

Keywords

Cite

@article{arxiv.2308.06737,
  title  = {On embedding theorems of spaces of functions with mixed logarithmic smoothness},
  author = {G. Akishev},
  journal= {arXiv preprint arXiv:2308.06737},
  year   = {2023}
}