On the ℓs-boundedness of a family of integral operators

Chiara Gallarati; Emiel Lorist; Mark Veraar

doi:10.4171/RMI/916

On the ℓs-boundedness of a family of integral operators

Chiara Gallarati, Emiel Lorist, Mark Veraar

Analysis

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Abstract

In this paper we prove an ℓs-boundedness result for integral operators with operator-valued kernels. The proofs are based on extrapolation techniques with weights due to Rubio de Francia. The results will be applied by the first and third author in a subsequent paper where a new approach to maximal Lp-regularity for parabolic problems with time-dependent generator is developed.

Original language	English
Pages (from-to)	1277-1294
Number of pages	18
Journal	Revista Matemática Iberoamericana
Volume	32
Issue number	4
DOIs	https://doi.org/10.4171/RMI/916
Publication status	Published - 2016

Keywords

ℓs-boundedness
extrapolation
integral operators
A p-weights
Hardy–Littlewood maximal function

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10.4171/RMI/916

1410.6657Accepted author manuscript, 222 KB

Cite this

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abstract = "In this paper we prove an ℓs-boundedness result for integral operators with operator-valued kernels. The proofs are based on extrapolation techniques with weights due to Rubio de Francia. The results will be applied by the first and third author in a subsequent paper where a new approach to maximal Lp-regularity for parabolic problems with time-dependent generator is developed.",

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T1 - On the ℓs-boundedness of a family of integral operators

AU - Gallarati, Chiara

AU - Lorist, Emiel

AU - Veraar, Mark

PY - 2016

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N2 - In this paper we prove an ℓs-boundedness result for integral operators with operator-valued kernels. The proofs are based on extrapolation techniques with weights due to Rubio de Francia. The results will be applied by the first and third author in a subsequent paper where a new approach to maximal Lp-regularity for parabolic problems with time-dependent generator is developed.

AB - In this paper we prove an ℓs-boundedness result for integral operators with operator-valued kernels. The proofs are based on extrapolation techniques with weights due to Rubio de Francia. The results will be applied by the first and third author in a subsequent paper where a new approach to maximal Lp-regularity for parabolic problems with time-dependent generator is developed.

KW - ℓs-boundedness

KW - extrapolation

KW - integral operators

KW - A p-weights

KW - Hardy–Littlewood maximal function

U2 - 10.4171/RMI/916

DO - 10.4171/RMI/916

M3 - Article

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VL - 32

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EP - 1294

JO - Revista Matemática Iberoamericana

JF - Revista Matemática Iberoamericana

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ER -

On the ℓs-boundedness of a family of integral operators

Abstract

Keywords

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