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

Autor: Gallarati, Chiara, Lorist, Emiel, Veraar, Mark
Rok vydání: 2014
Předmět:
Zdroj: Rev. Mat. Iberoam. 32 (2016), no. 4, 1277-1294
Druh dokumentu: Working Paper
DOI: 10.4171/RMI/916
Popis: 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.
Comment: Minor revision. Accepted for publication in Rev. Mat. Iberoamericana
Databáze: arXiv