Littlewood-Paley characterization for Campanato spaces

By A. E. Baraka. 2006

61 citations recorded by the source corpus.

The Littlewood-Paley characterization for the local approximation Campanato spaces Lpα is well known in the cases α≥0 and α=−np. We give in this paper a characterization of such a type for L2α spaces (and for Morrey-Campanato spaces L2,λ) for any α≥−n2. These spaces contain as spacial cases the well known spaces BMO of John and Nirenberg and its local version bmo.

Subfields: Applied Mathematics, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/836f77514aa50c33c71558f83b577cc18b5f3759

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In Applied Mathematics

1. Dachun Yang
2. Wen Yuan
3. S. Samko
4. Yoshihiro Sawano
5. Winfried Sickel
6. Natasha Samko
7. H. Rafeiro
8. Jun Liu

In Numerical Analysis

1. Wen Yuan
2. Dachun Yang
3. Winfried Sickel
4. S. Samko
5. Taiji Suzuki

Citations in the corpus

• Morrey-Campanato Spaces: an Overview (2013, background): “In the case p = 2 we refer also to a paper [32] (2006) on a characterization of such spaces when α may be negative (α > −2 ).”
• Interpolation of Morrey-Campanato and related smoothness spaces (2014, background): “For us of certain interest are the following: • Besov-Morrey spaces N su,p,q(Rn) (introduced and studied by Kozono, Yamazaki [34] and later by Mazzucato [49]); • Triebel-Lizorkin-Morrey spaces Esu,p,q(Rn) (introduced by Tang and Xu [79]); • Besov-type spaces Bs,τp,q (Rn) (introduced by El Baraka [18”