On the ℓs-boundedness of a family of integral operators
Chiara Gallarati (TU Delft - Analysis)
Emiel Lorist (TU Delft - Analysis)
Mark Veraar (TU Delft - 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.