Multipliers for Hardy-Orlicz spaces and applications
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.
Authors
- Alan Sola
- Odysseas Bakas (ORCID: https://orcid.org/0000-0002-8851-502X)
- Salvador Rodríguez-López (ORCID: https://orcid.org/0000-0002-7882-4013)
- Sandra Pott (ORCID: https://orcid.org/0000-0002-0848-4885)
Institutions
- Stockholm University (SE)
- University of Patras (GR)
- Lund University (SE)
Publication Details
- Journal
- Journal d Analyse Mathématique
- Published
- 2025-03-24
- DOI
- https://doi.org/10.1007/s11854-025-0364-5
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- University of Patras
- Eusko Jaurlaritza
- Knut och Alice Wallenbergs Stiftelse
- Stockholms Universitet
- Agencia Estatal de Investigación