Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces
<|reference_start|>Relations between Kondratiev spaces and refined localization Triebel-Lizorkin spaces: 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.<|reference_end|>
@article{hansen2024relations,
    title={Relations between Kondratiev spaces and refined localization
  Triebel-Lizorkin spaces},
    author={Markus Hansen, Benjamin Scharf, and Cornelia Schneider},
    journal={arXiv preprint arXiv:2404.17359},
    year={2024},
    archivePrefix={arXiv},
    eprint={2404.17359},
    primaryClass={math.AP cs.NA math.FA math.NA}
}