Multiplication and Composition in Weighted Modulation Spaces

2016/01/31 by Maximilian Reich, Reich, Maximilian, Winfried Sickel +1 · 1 citation
Mathematics · #46E35 #47B38 #47H30 #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods

paper · pdf · doi:10.48550/arxiv.1602.00280

openalex publication_date 2016/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 various situations. However, our second method allows a closer look onto associated norm inequalities under restrictions in the Fourier image. This will give us the opportunity to treat the boundedness of composition operators.

Cited by

• On the weighted Wiener-Lévy theorem: analogue on Euclidean space, strong converse on LCA group and applications to modulation spaces

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