Approaching bilinear multipliers via a functional calculus
Functional Analysis
2016-09-06 v1
Abstract
We propose a framework for bilinear multiplier operators defined via the (bivariate) spectral theorem. Under this framework we prove Coifman-Meyer type multiplier theorems and fractional Leibniz rules. Our theory applies to bilinear multipliers associated with the discrete Laplacian on general bi-radial bilinear Dunkl multipliers, and to bilinear multipliers associated with the Jacobi expansions.
Cite
@article{arxiv.1609.01083,
title = {Approaching bilinear multipliers via a functional calculus},
author = {Błażej Wróbel},
journal= {arXiv preprint arXiv:1609.01083},
year = {2016}
}