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On a Theorem of F. Riesz

Acta Mathematica Hungarica volume 148, pages 360–369 (2016)Cite this article

Abstract

We prove a theorem of Riesz characterizing the convergence in spaces of functions N ɸ generated by concave functions ɸ.

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Authors and Affiliations

  1. Institute of Mathematics, Vietnamese Academy of Science and Technology, Cau Giay, Hanoi, 18 Hoang Quoc Viet Street, Vietnam

    H. H. Bang

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  1. H. H. Bang
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Correspondence to H. H. Bang.

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Bang, H.H. On a Theorem of F. Riesz. Acta Math. Hungar. 148, 360–369 (2016). https://doi.org/10.1007/s10474-015-0574-x

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  • DOI: https://doi.org/10.1007/s10474-015-0574-x

Keywords and phrases

  • measure
  • Orlicz space
  • Lorentz space

Mathematics Subject Classification

  • 46F99
  • 46E30