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Mathematics > Analysis of PDEs

Title: Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces

Authors: Markus Hansen, Benjamin Scharf, Cornelia Schneider
(Submitted on 26 Apr 2024)
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.
Comments: 26 pages
Subjects: Analysis of PDEs (math.AP); Functional Analysis (math.FA); Numerical Analysis (math.NA)
Cite as: arXiv:2404.17359 [math.AP]
  (or arXiv:2404.17359v1 [math.AP] for this version)

Submission history

From: Cornelia Schneider PD Dr. [view email]
[v1] Fri, 26 Apr 2024 12:21:56 GMT (31kb)
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