3 citations · 6 across the 3 of their papers we have counts for
4 papers
Superposition in Modulation Spaces with Ultradifferentiable Weights
Maximilian Reich
In the theory of nonlinear partial differential equations we need to explain superposition operators. For modulation spaces equipped with particular ultradifferentiable weights thi…
Multiplication and Composition in Weighted Modulation Spaces
Maximilian Reich, Winfried Sickel
We study the existence of the product of two weighted modulation spaces. For this purpose we discuss two different strategies. The more simple one allows transparent proofs in vari…
Non-analytic Superposition Results on Modulation Spaces with Subexponential Weights
Maximilian Reich, Michael Reissig, Winfried Sickel
Motivated by classical results for Gevrey spaces and their applications to nonlinear partial differential equations we define so-called Gevrey-modulation spaces. We establish analy…
A Non-analytic Superposition Result on Gevrey-modulation Spaces
Maximilian Reich
After defining classical weighted modulation spaces we show some basic properties. In this work we additionally choose an approach in terms of the frequency-uniform decomposition a…