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On the proper inclusion property of (discrete) Morrey spaces

Functional Analysis 2024-07-09 v1

Abstract

In this paper, we construct a function which confirms the proper inclusion property of Morrey spaces, by using a relation between a class of functions in Morrey spaces and discrete Morrey spaces. Our particular function is simpler than those constructed by Gunawan \textit{et al.} in \cite{gunawan1, gunawan2}.

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Cite

@article{arxiv.2407.05613,
  title  = {On the proper inclusion property of (discrete) Morrey spaces},
  author = {Yohanes I. Runtunuwu and Janny Lindiarni and Hendra Gunawan},
  journal= {arXiv preprint arXiv:2407.05613},
  year   = {2024}
}

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5 pages