An Extension of Nikishin's Factorization Theorem
Printed: Mar 2017
A Nikishin-Maurey characterization is given for bounded subsets
of weak-type Lebesgue spaces. New factorizations for linear and
multilinear operators are shown to follow.
factorization, type, cotype, Banach spaces
46E30 - Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Kothe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
28A25 - Integration with respect to measures and other set functions