Bulletin of the
Korean Mathematical Society BKMS

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 $L^1$ and $L^\infty$ spaces.

Keywords: Morrey spaces, Dunkl-Williams constant, James constant, von Neumann-Jordan constant

MSC numbers: Primary 46B20

Supported by: The first author is supported by ITB Research and Innovation Program 2019. The second author is supported by National Research Foundation of South Africa, Grant No. 109297. The third author is supported by Grant-in-Aid for Scientific Research (C) (Grant No. 16K05209), the Japan Society for the Promotion of Science, and by People’s Friendship University of Russia.