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 Three geometric constants for Morrey spaces Bull. Korean Math. Soc. 2019 Vol. 56, No. 6, 1569-1575 https://doi.org/10.4134/BKMS.b190010Published online August 6, 2019Printed November 30, 2019 Hendra Gunawan, Eder Kikianty, Yoshihiro Sawano, Christopher Schwanke Bandung Institute of Technology; University of Pretoria; Peoples' Friendship University of Russia; North-West University 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 $L^1$ 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. Downloads: Full-text PDF   Full-text HTML