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- Title
Applications of multiresolution analysis in Besov-Q type spaces and Triebel-Lizorkin-Q type spaces.
- Authors
Li, Pengtao; Sun, Wenchang
- Abstract
In this survey, we give a neat summary of the applications of the multi-resolution analysis to the studies of Besov-Q type spaces B ˙ p , q γ 1 , γ 2 (ℝn)and Triebel-Lizorkin-Q type spaces B ˙ p , q γ 1 , γ 2 (ℝn). We will state briefly the recent progress on the wavelet characterizations, the boundedness of Calderón-Zygmund operators, the boundary value problem of B ˙ p , q γ 1 , γ 2 (ℝn) and F ˙ p , q γ 1 , γ 2 (ℝn). We also present the recent developments on the well-posedness of fluid equations with small data in B ˙ p , q γ 1 , γ 2 (ℝn) and F ˙ p , q γ 1 , γ 2 (ℝn).
- Subjects
CALDERON-Zygmund operator; BOUNDARY value problems
- Publication
Frontiers of Mathematics in China, 2022, Vol 17, Issue 3, p373
- ISSN
1673-3452
- Publication type
Article
- DOI
10.1007/s11464-022-1015-0