### Far Eastern Mathematical Journal

To content of the issue

On the K-divisibility constant in a pair of weighted \$L_p\$ spaces

Dmitriev A. A.

2013, issue 2, Ñ. 192-195

Abstract
An estimate \$?_p\ge p^{1/p}q^{1/q}\$ of the K-divisibility constant has been obtained for a pair of weighted Lp spaces. Taking into account an known estimate of the K-divisibility constant for an arbitrary pair of Banach lattices this implies that \$2\le ?\le4\$.

Keywords:
Banach couple, interpolation of linear operators, K-functional, K-method, constant K-divisibility