English

Three geometric constants for Morrey spaces

Functional Analysis 2019-08-21 v3

Abstract

In this paper we calculate three geometric constants, namely the von Neumann-Jordan constant, the James constant, and the Dunkl-Williams constant, for Morrey spaces and discrete Morrey spaces. These constants measure uniformly nonsquareness of the associated spaces. We obtain that the three constants are the same as those for L1L^1 and LL^\infty spaces.

Cite

@article{arxiv.1810.00963,
  title  = {Three geometric constants for Morrey spaces},
  author = {Hendra Gunawan and Eder Kikianty and Yoshihiro Sawano and Christopher Schwanke},
  journal= {arXiv preprint arXiv:1810.00963},
  year   = {2019}
}
R2 v1 2026-06-23T04:25:03.747Z