Nikol'skij-type and maximal inequalities for generalized trigonometric polynomials

DOI10.1007/S002290050187zbMath0932.42003OpenAlexW1987471107MaRDI QIDQ1303873

Renato Grande, Paola Santucci

Publication date: 22 September 1999

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050187

zbMATH Keywords

spectrumgeneralized functiongeneralized trigonometric polynomialNikol'skij-type inequalityalmost periodic function in the sense of Besicovitchmaximal function operator of Hardy and Littlewood

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Maximal functions, Littlewood-Paley theory (42B25) Classical almost periodic functions, mean periodic functions (42A75) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Trigonometric polynomials, inequalities, extremal problems (42A05)

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