Three geometric constants for Morrey spaces
Bull. Korean Math. Soc.
Published online August 6, 2019
Hendra Gunawan, Eder Kikianty, Yoshihiro Sawano, and Christopher Schwanke
Bandung Institute of Technology, University of Pretoria, Tokyo Metropolitan University, Lyon Collgege
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 : 46B20
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