Dual of Hardy-amalgam spaces and norms inequalities
Functional Analysis
2018-10-04 v3
Abstract
We characterize the dual spaces of the generalized Hardy spaces defined by replacing Lebesgue quasi-norms by Wiener amalgam ones. In these generalized Hardy spaces, we prove that some classical linear operators such as Calder\'on-Zygmund, convolution and Riesz potential operators are bounded.
Keywords
Cite
@article{arxiv.1803.03561,
title = {Dual of Hardy-amalgam spaces and norms inequalities},
author = {Zobo Vincent de Paul Ablé and Justin Feuto},
journal= {arXiv preprint arXiv:1803.03561},
year = {2018}
}
Comments
38 pages. We have corrected some typos and modified the proof of Lemma 4.21. To appear in Analysis Mathematica