On the s\ell^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

Abstract

In this paper we prove an s\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 LpL^p-regularity for parabolic problems with time-dependent generator is developed.

Cite this article

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

DOI 10.4171/RMI/916