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

Chiara Gallarati; Emiel Lorist; Mark Veraar

doi:10.4171/rmi/916

JournalsrmiVol. 32, No. 4pp. 1277–1294

On the $ℓ^{s}$ -boundedness of a family of integral operators

Chiara Gallarati
Delft University of Technology, Netherlands
Emiel Lorist
Delft University of Technology, Netherlands
Mark Veraar
Delft University of Technology, Netherlands

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

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Abstract

In this paper we prove an $ℓ^{s}$ -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.

Cite this article

Chiara Gallarati, Emiel Lorist, Mark Veraar, On the $ℓ^{s}$ -boundedness of a family of integral operators. Rev. Mat. Iberoam. 32 (2016), no. 4, pp. 1277–1294

DOI 10.4171/RMI/916