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Multipliers for Hardy-Orlicz spaces and applications

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Název: Multipliers for Hardy-Orlicz spaces and applications
Autoři: Bakas, Odysseas, Pott, Sandra, Rodríguez-López, Salvador, Sola, Alan
Přispěvatelé: Lund University, Faculty of Science, Centre for Mathematical Sciences, Mathematics (Faculty of Sciences), Lunds universitet, Naturvetenskapliga fakulteten, Matematikcentrum, Matematik (naturvetenskapliga fakulteten), Originator
Zdroj: Journal d'Analyse Mathematique. 155(2):401-458
Témata: Natural Sciences, Mathematical Sciences, Mathematical Analysis, Naturvetenskap, Matematik, Matematisk analys
Popis: 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.
Přístupová URL adresa: https://doi.org/10.1007/s11854-025-0364-5
Databáze: SwePub
Popis
Abstrakt: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.
ISSN:00217670
DOI:10.1007/s11854-025-0364-5