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

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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Bibliographic Details
Published in:Vietnam journal of mathematics 2016-06, Vol.44 (2), p.419-429
Main Authors: Bang, Ha Huy, Huy, Vu Nhat
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Description
Summary: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.
ISSN:2305-221X
2305-2228
DOI:10.1007/s10013-015-0146-y