Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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THREE GEOMETRIC CONSTANTS FOR MORREY SPACES

  • Gunawan, Hendra (Faculty of Mathematics and Natural Sciences Bandung Institute of Technology) ;
  • Kikianty, Eder (Department of Mathematics and Applied Mathematics University of Pretoria) ;
  • Sawano, Yoshihiro (Department of Mathematics and Information Science Tokyo Metropolitan University) ;
  • Schwanke, Christopher (Department of Mathematics Lyon College)
  • Received : 2019.01.04
  • Accepted : 2019.07.08
  • Published : 2019.11.30
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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.

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References

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