On Geometric Constants for Discrete Morrey Spaces

Abstract

In this paper we prove that the n-th Von Neumann-Jordan constant and the n-th James constant for discrete Morrey spaces l^p_q where 1≤p<q<∞ are both equal to n. This result tells us that the discrete Morrey spaces are not uniformly non-l¹, and hence they are not uniformly n-convex.