Multipliers for Hardy-Orlicz spaces and applications
Classical Analysis and ODEs
2025-06-23 v1 Complex Variables
Functional Analysis
Abstract
Using real-variable methods, we characterise multipliers for general classes of Hardy--Orlicz spaces, unifying and extending several classical results due to Hardy and Littlewood; Duren and Shields; Paley; and others. Applications of our results include inequalities involving Fourier coefficients and Fourier transforms of elements of Hardy--Orlicz spaces and their duals, as well as embeddings into spaces of generalised smoothness, Sobolev type-embeddings and Paley-Wiener type theorems.
Keywords
Cite
@article{arxiv.2306.09874,
title = {Multipliers for Hardy-Orlicz spaces and applications},
author = {Odysseas Bakas and Sandra Pott and Salvador Rodriguez-Lopez and Alan Sola},
journal= {arXiv preprint arXiv:2306.09874},
year = {2025}
}