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Multipliers for Hardy-Orlicz spaces and applications

Bakas, Odysseas LU ; Pott, Sandra LU ; Rodríguez-López, Salvador and Sola, Alan (2025) In Journal d'Analyse Mathematique 155(2). p.401-458
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.

Please use this url to cite or link to this publication:
author
; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Journal d'Analyse Mathematique
volume
155
issue
2
pages
58 pages
publisher
Magnes Press
external identifiers
  • scopus:105001473485
ISSN
0021-7670
DOI
10.1007/s11854-025-0364-5
language
English
LU publication?
yes
id
6c82a717-92ae-426c-a5a8-86c18354ed59
date added to LUP
2025-09-08 14:18:47
date last changed
2025-09-08 14:19:51
@article{6c82a717-92ae-426c-a5a8-86c18354ed59,
  abstract     = {{<p>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.</p>}},
  author       = {{Bakas, Odysseas and Pott, Sandra and Rodríguez-López, Salvador and Sola, Alan}},
  issn         = {{0021-7670}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{401--458}},
  publisher    = {{Magnes Press}},
  series       = {{Journal d'Analyse Mathematique}},
  title        = {{Multipliers for Hardy-Orlicz spaces and applications}},
  url          = {{http://dx.doi.org/10.1007/s11854-025-0364-5}},
  doi          = {{10.1007/s11854-025-0364-5}},
  volume       = {{155}},
  year         = {{2025}},
}