English

Boundedness of Pseudodifferential Operators with symbols in Wiener amalgam spaces on Modulation Spaces

Functional Analysis 2018-10-16 v2

Abstract

This paper provides sufficient conditions for the boundedness of Weyl operators on modulation spaces. The Weyl symbols belong to Wiener amalgam spaces, or generalized modulation spaces, as recently renamed by their inventor Hans Feichtinger. This is the first result which relates symbols in Wiener amalgam spaces to operators acting on classical modulation spaces.

Keywords

Cite

@article{arxiv.1703.08989,
  title  = {Boundedness of Pseudodifferential Operators with symbols in Wiener amalgam spaces on Modulation Spaces},
  author = {Lorenza D'Elia and Salvatore Ivan Trapasso},
  journal= {arXiv preprint arXiv:1703.08989},
  year   = {2018}
}

Comments

11 pages; added reference [1]