A+ CATEGORY SCIENTIFIC UNIT

Discrete Morrey spaces are closed subspaces of their continuous counterparts

Volume 119 / 2019

Eder Kikianty, Christopher Schwanke Banach Center Publications 119 (2019), 223-231 MSC: 42B35, 46A45, 46B45. DOI: 10.4064/bc119-13

Abstract

The Banach space structure of the discrete Morrey spaces follows from the fact that they are closed subspaces of the classical Morrey spaces. In this paper, we present the complete proof of this statement. Some inclusion properties of the discrete Morrey spaces are also discussed.

Authors

  • Eder KikiantyDepartment of Mathematics and Applied Mathematics
    University of Pretoria
    Private Bag X20
    Hatfield 0028, South Africa
    e-mail
  • Christopher SchwankeDepartment of Mathematics
    Lyon College
    Batesville
    AR 72501, USA
    e-mail

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