English

Generalized Von Neumann-Jordan Constant for Morrey Spaces and Small Morrey Spaces

Functional Analysis 2020-04-07 v1

Abstract

In this paper we calculate some geometric constants for Morrey spaces and small Morrey spaces, namely generalized Von Neumann-Jordan constant, modified Von Neumann-Jordan constants, and Zb\'{a}ganu constant. All these constants measure the uniformly nonsquareness of the spaces. We obtain that their values are the same as the value of Von Neumann-Jordan constant for Morrey spaces and small Morrey spaces.

Keywords

Cite

@article{arxiv.2004.01895,
  title  = {Generalized Von Neumann-Jordan Constant for Morrey Spaces and Small Morrey Spaces},
  author = {Hairur Rahman and Hendra Gunawan},
  journal= {arXiv preprint arXiv:2004.01895},
  year   = {2020}
}

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6 pages