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arXiv · 1603.08723

Superposition in Modulation Spaces with Ultradifferentiable Weights

Maximilian Reich
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Abstract

In the theory of nonlinear partial differential equations we need to explain superposition operators. For modulation spaces equipped with particular ultradifferentiable weights this was done in \cite{rrs}. In this paper we introduce a class of general ultradifferentiable weights for modulation spaces $\mathcal{M}^{w_*}_{p,q}(\mathbb{R}^n)$ which have at most subexponential growth. We establish analytic as well as non-analytic superposition results in the spaces $\mathcal{M}^{w_*}_{p,q}(\mathbb{R}^n)$.

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Maximilian Reich. 2016-03-29. Superposition in Modulation Spaces with Ultradifferentiable Weights. https://arxiv.org/abs/1603.08723

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