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Fakultät für Mathematik
Helena F. Goncalves, Henning Kempka: Non-smooth atomic decomposition of 2-microlocal spaces and application to pointwise multipliers

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:
application/pdf
Preprint series:
Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 15, 2015
Mathematics Subject Classification:
    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

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