Resumen de On the ℓs-boundedness of a family of integral operators

Chiara Gallarati, Emiel Lorist, Mark Veraar

• 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.