Acta Mathematica Hungarica

, Volume 148, Issue 2, pp 360–369 | Cite as

On a Theorem of F. Riesz

  • H. H. BangEmail author


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

Keywords and phrases

measure Orlicz space Lorentz space 

Mathematics Subject Classification

46F99 46E30 


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Copyright information

© Akadémiai Kiadó, Budapest, Hungary 2015

Authors and Affiliations

  1. 1.Institute of MathematicsVietnamese Academy of Science and TechnologyCau Giay, HanoiVietnam

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