On the ℓs-boundedness of a family of integral operators

Chiara Gallarati ^[1] ; Emiel Lorist ^[1] ; Mark Veraar ^[1]
1. [1] Delft University of Technology
  
  Delft University of Technology
  
  Países Bajos
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 32, Nº 4, 2016, págs. 1277-1294
Idioma: inglés
DOI: 10.4171/RMI/916
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Resumen
- 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.