Publication:
The Haar system in Triebel-Lizorkin spaces: endpoint results

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Date
2021
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Authors
Garrigós Aniorte, Gustavo Adolfo ; Seeger, Andreas ; Ullrich, Tino
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Publisher
Springer
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Matemáticas
DOI
https://doi.org/10.1007/s12220-020-00577-x
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info:eu-repo/semantics/article
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Abstract
We characterize the Schauder and unconditional basis properties for the Haar system in the Triebel-Lizorkin spaces F(s,p,q) in Rd, at the endpoint cases s=1 , s=d/p-d, and p=infty. Together with the earlier results in [10], [4], this completes the picture for such properties in the Triebel-Lizorkin scale, and complements a similar study for the Besov spaces given in [5].
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Schauder basis , Basic sequence , Unconditional basis , Dyadic averaging operators , Haar system , Sobolev and Besov spaces , Triebel Lizorkin spaces
Citation
J Geom Anal 31, 9045–9089 (2021)
URI
http://hdl.handle.net/10201/193189
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