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arXiv · 1811.01752

Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces

Nenad Teofanov
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Abstract

We define and study wave-front sets for weighted Fourier-Lebesgue spaces when the weights are moderate with respect to the associated functions for general sequences $\{ M_p\} $ which satisfy Komatsu's conditions $(M.1) - (M.3)'$. In particular, when $\{ M_p\} $ is the Gevrey sequence ($M_p = p!^s$, $s>1$) we recover some previously observed results. Furthermore, we consider wave-front sets for modulation spaces in the same setting, and prove the invariance property related to the Fourier-Lebesgue type wave-front sets.

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Nenad Teofanov. 2018-11-02. Wave-front sets in non-quasianalytic setting for Fourier Lebesgue and modulation spaces. https://arxiv.org/abs/1811.01752

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