On geometric constants for (small) Morrey spaces

TL;DR

This paper calculates key geometric constants for small Morrey spaces, providing new insights into their structure and demonstrating that these spaces are not uniformly non-octahedral, with implications for their geometric analysis.

Contribution

It introduces a method to compute geometric constants for small Morrey spaces and shows they are not uniformly non-octahedral, offering new geometric characterizations.

Findings

Computed Von Neumann-Jordan, James, and Dunkl-Williams constants for small Morrey spaces

Provided an alternative approach for classical Morrey spaces

Proved small Morrey spaces are not uniformly non-octahedral

Abstract

In this article, we compute Von Neumann-Jordan constant, James constant, and Dunkl-Williams constant for small Morrey spaces. Our approach can also be seen as an alternative way in computing the three constants for the (classical) Morrey spaces. In addition, we prove constructively that Morrey spaces are not uniformly non-octahedral.