The Weyl product on quasi-Banach modulation spaces
Yuanyuan Chen, Joachim Toft, Patrik Wahlberg
TL;DR
This paper investigates the bilinear Weyl product on quasi-Banach modulation spaces, establishing conditions for its continuity and extending previous results from Banach spaces to more general quasi-Banach settings.
Contribution
It provides new sufficient and necessary conditions for the Weyl product's continuity on quasi-Banach modulation spaces, broadening the scope of prior Banach space results.
Findings
Sufficient conditions for Weyl product continuity
Necessary conditions for Weyl product continuity
Extension of results from Banach to quasi-Banach spaces
Abstract
We study the bilinear Weyl product acting on quasi-Banach modulation spaces. We find sufficient conditions for continuity of the Weyl product and we derive necessary conditions. The results extend known results for Banach modulation spaces.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Harmonic Analysis Research