Superposition in Modulation Spaces with Ultradifferentiable Weights

29 Mar 2016  ·  Reich Maximilian ·

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 $\mathcal{M}^{w_*}_{p,q}(\mathbb{R}^n)$. read more

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Functional Analysis Analysis of PDEs