Composition operators on weighted modulation spaces
H\'ector Ariza, Carmen Fern\'andez, Antonio Galbis
TL;DR
This paper investigates the behavior of composition operators acting between various weighted modulation spaces, including tempered distributions and ultradistributions, focusing on operators close to the identity.
Contribution
It introduces new analysis of composition operators on weighted modulation spaces with symbols as perturbations of the identity, covering both tempered and ultradistribution cases.
Findings
Characterization of composition operators between weighted modulation spaces.
Analysis of operators with symbols near the identity.
Extension to ultradistribution-based modulation spaces.
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.
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Taxonomy
TopicsHolomorphic and Operator Theory · Mathematical Analysis and Transform Methods · Approximation Theory and Sequence Spaces