Some new Fourier inequalities for unbounded orthogonal systems in Lorentz-Zygmund spaces
DOI10.1186/s13660-020-02344-6zbMath1503.26039OpenAlexW3015936694MaRDI QIDQ2069358
Dag Lukkassen, Lars-Erik Persson, G. A. Akishev
Publication date: 20 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-020-02344-6
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Inequalities for sums, series and integrals (26D15) Fourier series and coefficients in several variables (42B05) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Inequalities for trigonometric functions and polynomials (26D05) Other analytical inequalities (26D20) Zygmund spaces (30H40)
Related Items (1)
Cites Work
- Embedding Nikol'skiĭ classes into Lorentz spaces
- Some generalizations of the Hardy-Littlewood-Paley theorem
- Some Fourier inequalities for orthogonal systems in Lorentz-Zygmund spaces
- Quasi-monotone weight functions and their characteristics and applications
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