On the ℓs-boundedness of a family of integral operators

Journal article (2016)

Authors

C. Gallarati Analysis - EEMCS
E. Lorist Analysis - EEMCS
M.C. Veraar Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
Copyright: © 2016 C. Gallarati, E. Lorist, M.C. Veraar
DOI
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https://doi.org/10.4171/RMI/916
Extrapolation ℓs-boundedness Integral operators A p-weights Hardy–Littlewood maximal function
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Published Date

2016

Language

English

Reuse Rights

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Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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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