English

Truncated smooth function spaces

Functional Analysis 2022-11-04 v1

Abstract

We introduce truncated Besov and Triebel--Lizorkin function spaces and investigate their main properties: embeddings, interpolation, duality, lifting, traces. These new scales allow us to improve several known results in functional analysis and PDE's.

Keywords

Cite

@article{arxiv.2211.01529,
  title  = {Truncated smooth function spaces},
  author = {Oscar Domínguez and Sergey Tikhonov},
  journal= {arXiv preprint arXiv:2211.01529},
  year   = {2022}
}