Some trigonometric polynomials with extremely small uniform norm and their applications

DOI10.1070/IM8887zbMath1440.42002OpenAlexW2974119199MaRDI QIDQ5112469

Artyom O. Radomskii

Publication date: 29 May 2020

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im8887

zbMATH Keywords

trigonometric polynomialFejér kernelRademacher system

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Trigonometric polynomials, inequalities, extremal problems (42A05)

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Cites Work

• Some trigonometric polynomials with extremally small uniform norm
• On certain properties of the space of trigonometric polynomials with uniform norm
• On a sequence of trigonometric polynomials
• On a certain norm and related applications
• QC-norm of trigonometric polynomials of special form
• On the possibility of strengthening Sidon-type inequalities
• On nonequivalence of the C- and QC-norms in the space of trigonometric polynomials
• Some properties of the space of quasi-continuous functions
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