Composition operators on weighted modulation spaces

2025/12/17 by Ariza, Héctor, Fernández, Carmen, Galbis, Antonio
#42B35 #46F05 #47B33 #47G30 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2512.15409

Abstract

We study composition operators whose symbols are suitable perturbations of the identity and which act between different weighted modulation classes. We consider both modulation spaces formed by tempered distributions and those whose elements are ultradistributions defined in terms of a subadditive weight.

Citations

• Topologizability and related properties of the iterates of composition operators in Gelfand-Shilov classes
• Iterates of composition operators on global spaces of ultradifferentiable functions
• Composition operators on Gelfand-Shilov classes
• Compactness of Fourier Integral Operators on weighted modulation spaces
• The Gabor wave front set in spaces of ultradifferentiable functions
• Composition operators on the Schwartz space
• Pseudodifferential operators of infinite order in spaces of tempered ultradistributions
• A Beurling-Helson type theorem for modulation spaces

Related

• Multiplication and Composition in Weighted Modulation Spaces
• Embedding and Duality of Matrix-Weighted Modulation Spaces
• Weighted composition operators on the Fock space
• Weighted Composition Operator and the Mittag-Leffler space
• Weighted Composition Operator on Fock Space