(p,q)-Regular operators between Banach lattices Articles uri icon

authors

  • TRADACETE PEREZ, PEDRO
  • SANCHEZ PEREZ, ENRIQUE A.

publication date

  • February 2019

start page

  • 321

end page

  • 350

issue

  • 2

volume

  • 188

International Standard Serial Number (ISSN)

  • 0026-9255

Electronic International Standard Serial Number (EISSN)

  • 1436-5081

abstract

  • We study the class of (p,q)-regular operators between quasi-Banach lattices. In particular, a representation of this class as the dual of a certain tensor norm for Banach lattices is given. We also provide some factorization results for (p,q)-regular operators yielding new Marcinkiewicz-Zygmund type inequalities for Banach function spaces. An extension theorem for (q,)-regular operators defined on a subspace of Lq is also given.

subjects

  • Mathematics

keywords

  • banach lattice; (p,q)-regular operator; marcinkiewicz-zygmund inequalities; lattice tensor norm; interpolation; products; theorem