Nikol'skii inequalities for Lorentz-Zygmund spaces

DOI10.1007/s40590-018-0222-xzbMath1428.41013OpenAlexW2901608171MaRDI QIDQ2010847

Dmitrij Gendler, Leo R. Ya. Doktorski

Publication date: 28 November 2019

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-018-0222-x

zbMATH Keywords

Fourier seriesLorentz-Zygmund spacesNikol'skii inequalityorthonormal bounded system

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)

Related Items (3)

Some New Fourier and Jackson-Nikol'skii Type Inequalities In Unbounded Orthonormal Systems ⋮ Nikol'skii-type inequalities for trigonometric polynomials for Lorentz-Zygmund spaces ⋮ Nikol'skii-type inequalities for entire functions of exponential type in Lorentz-Zygmund spaces

Cites Work

• Approximation spaces, limiting interpolation and Besov spaces
• Ulyanov-type inequalities between Lorentz-Zygmund spaces
• On Nikol'skii inequalities for domains in \({\mathbb {R}}^d\)
• Real interpolation with logarithmic functors.
• Nikolskii inequality and functional classes on compact Lie groups
• Nikol'skii inequalities for Lorentz spaces
• Theory of function spaces
• Ul'yanov and Nikol'skii-type inequalities
• Counterexamples for classical operators on Lorentz-Zygmund spaces
• On generalized Lorentz-Zygmund spaces
• Limiting reiteration for real interpolation with slowly varying functions
• On the scientific work of S.M. Nikol'skii
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