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  4. Nikol'skii inequalities for Lorentz-Zygmund spaces
 
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2019
  • Zeitschriftenaufsatz

Titel

Nikol'skii inequalities for Lorentz-Zygmund spaces

Abstract
Analogs of the Nikol'skii inequality in Lorentz-Zygmund spaces are obtained for functions of the form ∑nk=1ckfk, where {fk} is a finite orthonormal system in L2 bounded in LIF. No assumptions about smoothness of considered functions are required. Used technique relies only on the properties of Lorentz-Zygmund spaces and Fourier series map. In addition, real interpolation method is applied.
Author(s)
Doktorski, Leo R. Ya
Gendler, Dmitrij
Zeitschrift
Boletin de la Sociedad Matemática Mexicana
Thumbnail Image
DOI
10.1007/s40590-018-0222-x
Language
Englisch
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