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.
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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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Bang, H.H., Huy, V.N. A Study of the Sequence of Norm of Derivatives (or Primitives) of Functions Depending on Their Beurling Spectrum. Vietnam J. Math. 44, 419–429 (2016). https://doi.org/10.1007/s10013-015-0146-y
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DOI: https://doi.org/10.1007/s10013-015-0146-y