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Vietnam Journal of Mathematics

, Volume 44, Issue 2, pp 419–429 | Cite as

A Study of the Sequence of Norm of Derivatives (or Primitives) of Functions Depending on Their Beurling Spectrum

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Abstract

In this paper, we characterize the behavior of the sequence of norm of derivatives (or primitives) of functions by their Beurling spectrum in Banach spaces. The Bernstein inequality for Banach spaces is also obtained.

Keywords

Banach Spaces Beurling spectrum 

Mathematics Subject Classification (2010)

26D10 46E30 

Notes

Acknowledgments

This research is funded by Vietnam National Foundation for Science and Technology Development (NAFOSTED) under grant number 101.01-2011.32. The authors would like to thank the referees for the exact corrections.

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Copyright information

© Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2015

Authors and Affiliations

  1. 1.Institute of Mathematics, Vietnamese Academy of Science and TechnologyCau GiayVietnam
  2. 2.Department of Mathematics, College of ScienceVietnam National UniversityThanh XuanVietnam

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