Atomic, molecular and wavelet decomposition of generalized 2-microlocal Besov spaces
By H. Kempka. 2010
57 citations recorded by the source corpus.
We introduce generalized 2-microlocal Besov spaces and give characterizations in decomposition spaces by atoms, molecules and wavelets. We apply the wavelet decomposition to prove that the 2-microlocal spaces are invariant under the action of pseudodifferential operators of order 0.
Subfields: Applied Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/4a33f4cd9b08173747d6425c23a2a23a87c70d2f
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In Applied Mathematics
- Tino Ullrich
- Holger Rauhut
- H. Kempka
- Dachun Yang
- Wen Yuan
- Jan Vyb'iral
- Yoshihiro Sawano
- Ciqiang Zhuo
In Mathematical Physics
- Tino Ullrich
- Holger Rauhut
- H. Kempka
- Dachun Yang
- Wen Yuan
- Jan Vyb'iral
- Ciqiang Zhuo
- Yoshihiro Sawano
Citations in the corpus
- Generalized coorbit space theory and inhomogeneous function spaces of Besov-Lizorkin-Triebel type (2010, background): “A tight continuous frame F = {ϕx}x∈X is said to possess property D[δ,m, Y ] for a fixed δ > 0 and a weight m : X ×X → R if there exists a moderate admissible covering U = Uδ = {Ui}i∈I of X such that sup i∈I sup x,y∈Ui m(x,y) ≤ Cm,U , if the kernel RF belongs to BY,m, and if oscU (x,y) and osc∗U…”
- 2-Microlocal Besov and Triebel-Lizorkin Spaces of Variable Integrability (2009, methodology): “1 was given in [15] by Kempka and characterizations by local means, atoms and wavelets have been established ([15], [17]).”