On approximation orders of functions of several variables in the Lorentz space

DOI10.1134/S0081543818020037zbMath1395.42012OpenAlexW2803200311MaRDI QIDQ721507

D. Kharzeev

Publication date: 19 July 2018

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543818020037

zbMATH Keywords

best approximationNikol'skii-Besov class

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) Fourier series and coefficients in several variables (42B05)

Cites Work

• Imbedding theorems in a mixed metric
• Nikol'skii's inequality for different metrics and properties of the sequence of norms of the Fourier sums of a function in the Lorentz space
• On degree of approximation of classes in Lorentz space
• Approximation of function classes in spaces with mixed norm
• Multivariate Rearrangements and Banach Function Spaces with Mixed Norms
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