New Young inequalities and applications
Functional Analysis
2017-05-18 v1
Abstract
We establish upper bounds for the convolution operator acting between interpolation spaces. This will provide several examples of Young Inequalities in different families of function spaces. We use this result to prove a bilinear interpolation theorem and we show applications to the study of bilinear multipliers.
Keywords
Cite
@article{arxiv.1705.06170,
title = {New Young inequalities and applications},
author = {Pedro Fernández-Martínez and Eduardo Brandani da Silva},
journal= {arXiv preprint arXiv:1705.06170},
year = {2017}
}