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arXiv · 2306.09874

Multipliers for Hardy-Orlicz spaces and applications

Odysseas Bakas·Sandra Pott·Salvador Rodriguez-Lopez·Alan Sola
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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.

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Odysseas Bakas, Sandra Pott, Salvador Rodriguez-Lopez, Alan Sola. 2023-06-16. Multipliers for Hardy-Orlicz spaces and applications. https://arxiv.org/abs/2306.09874

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