English

Multi-linear products with odd factors in pseudo-differential calculus with symbols in modulation spaces

Functional Analysis 2021-10-26 v1

Abstract

We give sufficient conditions on the Lebesgue exponents for compositions of odd numbers of pseudo-differential operators with symbols in modulation spaces. As a byproduct, we obtain sufficient conditions for twisted convolutions of odd numbers of factors to be bounded on Wiener amalgam spaces.

Keywords

Cite

@article{arxiv.2110.12556,
  title  = {Multi-linear products with odd factors in pseudo-differential calculus with symbols in modulation spaces},
  author = {Joachim Toft},
  journal= {arXiv preprint arXiv:2110.12556},
  year   = {2021}
}

Comments

25 pages. This is the first version. It is expected that the document will be significantly changed in the subsequent version(s). arXiv admin note: substantial text overlap with arXiv:1311.1405