Three geometric constants for morrey spaces

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 L1 and L∞ spaces. ©2019 Korean Mathematial Soiety.

Authors
Gunawan H.1 , Kikianty E.2 , Sawano Y. 3, 4 , Schwanke C.5, 6
Publisher
Korean Mathematical Society
Number of issue
6
Language
English
Pages
1569-1575
Status
Published
Volume
56
Year
2019
Organizations
  • 1 Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung, 40132, Indonesia
  • 2 Department of Mathematics and Applied Mathematics, University of Pretoria Private Bag X20, Hatfield, 0028, South Africa
  • 3 Department of Mathematics and Information Science, Tokyo Metropolitan University Minamioosawa, Hachouji-city 1-1, Tokyo, 192-0364, Japan
  • 4 Department of Mathematics Analysis and the Theory of functions Peoples’ Friendship University of Russia, Moscow, Russian Federation
  • 5 Department of Mathematics, Lyon College, Batesville, AR 72501, United States
  • 6 Unit for BMI North-West University Private Bag X6001, Potchefstroom, 2520, South Africa
Keywords
Dunkl-Williams constant; James constant; Morrey spaces; Von Neumann-Jordan constant
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