A Generalized Hardy Operator on Rearrangement Invariant Spaces

Oscar Blasco; Carolina Espinoza-Villalva

doi:10.1007/978-3-030-87502-2_32

A Generalized Hardy Operator on Rearrangement Invariant Spaces

Oscar Blasco^*, Carolina Espinoza-Villalva

^*Autor correspondiente de este trabajo

Departamento de Matemáticas

Producción científica: Capítulo del libro/informe/acta de congreso › Capítulo › revisión exhaustiva

Resumen

In this paper we consider a weighted generalization of the Hardy operator acting on a rearrangement invariant function space. We give necessary and sufficient conditions for this linear operator to be bounded on a rearrangement invariant function space in terms of its upper Boyd index and the integrability of the norm of the dilation operator with respect to the considered weight.

Idioma original	Inglés
Título de la publicación alojada	Trends in Mathematics
Editorial	Springer Science and Business Media Deutschland GmbH
Páginas	315-324
Número de páginas	10
DOI	https://doi.org/10.1007/978-3-030-87502-2_32
Estado	Publicada - 2022

Serie de la publicación

Nombre	Trends in Mathematics
ISSN (versión impresa)	2297-0215
ISSN (versión digital)	2297-024X

Nota bibliográfica

Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.

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10.1007/978-3-030-87502-2_32

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abstract = "In this paper we consider a weighted generalization of the Hardy operator acting on a rearrangement invariant function space. We give necessary and sufficient conditions for this linear operator to be bounded on a rearrangement invariant function space in terms of its upper Boyd index and the integrability of the norm of the dilation operator with respect to the considered weight.",

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AU - Espinoza-Villalva, Carolina

PY - 2022

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N2 - In this paper we consider a weighted generalization of the Hardy operator acting on a rearrangement invariant function space. We give necessary and sufficient conditions for this linear operator to be bounded on a rearrangement invariant function space in terms of its upper Boyd index and the integrability of the norm of the dilation operator with respect to the considered weight.

AB - In this paper we consider a weighted generalization of the Hardy operator acting on a rearrangement invariant function space. We give necessary and sufficient conditions for this linear operator to be bounded on a rearrangement invariant function space in terms of its upper Boyd index and the integrability of the norm of the dilation operator with respect to the considered weight.

KW - Boyd index

KW - Hardy operator

KW - Rearrangement invariant space

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U2 - 10.1007/978-3-030-87502-2_32

DO - 10.1007/978-3-030-87502-2_32

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AN - SCOPUS:85139478547

T3 - Trends in Mathematics

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PB - Springer Science and Business Media Deutschland GmbH

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A Generalized Hardy Operator on Rearrangement Invariant Spaces

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