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.

Авторы
Gunawan H.1 , Kikianty E.2 , Sawano Y. 3, 4 , Schwanke C.5, 6
Издательство
Korean Mathematical Society
Номер выпуска
6
Язык
Английский
Страницы
1569-1575
Статус
Опубликовано
Том
56
Год
2019
Организации
  • 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
Ключевые слова
Dunkl-Williams constant; James constant; Morrey spaces; Von Neumann-Jordan constant
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