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

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.

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