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arXiv · 1410.6657

On the $\ell^s$-boundedness of a family of integral operators

Chiara Gallarati·Emiel Lorist·Mark Veraar
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Abstract

In this paper we prove an $\ell^s$-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 $L^p$-regularity for parabolic problems with time-dependent generator is developed.

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Chiara Gallarati, Emiel Lorist, Mark Veraar. 2014-10-24. On the $\ell^s$-boundedness of a family of integral operators. https://doi.org/10.4171/rmi%2F916

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