Product operators on mixed norm spaces
Functional Analysis
2022-01-20 v2
Abstract
Inequalities for product operators on mixed norm Lebesgue spaces and permuted mixed norm Lebesgue spaces are established. They depend only on inequalities for the factors and on the Lebesgue indices involved. Inequalities for the bivariate Laplace transform are given to illustrate the method. Also, an elementary proof is presented for an -variable Young's inequality in mixed norm spaces.
Keywords
Cite
@article{arxiv.1602.08790,
title = {Product operators on mixed norm spaces},
author = {Wayne Grey and Gord Sinnamon},
journal= {arXiv preprint arXiv:1602.08790},
year = {2022}
}