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

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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Veröffentlicht in:Vietnam journal of mathematics 2016-06, Vol.44 (2), p.419-429
Hauptverfasser: Bang, Ha Huy, Huy, Vu Nhat
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung: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