Helena F. Goncalves, Henning Kempka: Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers
- Author(s):
-
Helena F. Goncalves
Henning Kempka
- Title:
-
Helena F. Goncalves, Henning Kempka: Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers
- Electronic source:
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application/pdf
- Preprint series:
- Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 15, 2015
- Mathematics Subject Classification:
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none
[]
- Abstract:
- We provide non-smooth atomic characterizations for 2-microlocal Besov and Triebel–Lizorkin spaces with variable integrability$B^{w}_{p(\cdot),q(\cdot)}(\mathbb{R}^n)$ and $B^{w}_{p(\cdot),q(\cdot)}(\mathbb{R}^n)$. These spaces cover the classical Besov and Triebel–Lizorkin spaces as well as spaces of variable smoothness and integrability. As an application, we state a pointwise multipliers result for these spaces.
- Keywords:
-
2-microlocal spaces,
Besov and Triebel–Lizorkin spaces,
Variable integrability,
Atomic decomposition,
Pointwise multipliers
- Language:
- English
- Publication time:
- 09/2015
