Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces
Analysis of PDEs
2024-04-29 v1 Numerical Analysis
Functional Analysis
Numerical Analysis
Abstract
We investigate the close relation between certain weighted Sobolev spaces (Kondratiev spaces) and refined localization spaces from introduced by Triebel [39,40]. In particular, using a characterization for refined localization spaces from Scharf [32], we considerably improve an embedding from Hansen [17]. This embedding is of special interest in connection with convergence rates for adaptive approximation schemes.
Keywords
Cite
@article{arxiv.2404.17359,
title = {Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces},
author = {Markus Hansen and Benjamin Scharf and Cornelia Schneider},
journal= {arXiv preprint arXiv:2404.17359},
year = {2024}
}
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26 pages