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<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>

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Multipliers for Hardy-Orlicz spaces and applications

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年3月24日

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  • Odysseas Bakas,
  • Sandra Pott,
  • Salvador Rodríguez-López,
  • Alan Sola

摘要

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.