Embedding Nikol'skiĭ classes into Lorentz spaces

DOI10.1007/s11202-010-0074-8zbMath1214.46018OpenAlexW2040162860MaRDI QIDQ630299

B. V. Simonov

Publication date: 17 March 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0074-8

zbMATH Keywords

Lorentz spacecontinuity modulusperiodic functionNikol'skij classembedding of function classes

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)

Related Items (2)

Estimates of the best approximations of the functions of the Nikol'skii-Besov class in the generalized space of Lorentz ⋮ Some new Fourier inequalities for unbounded orthogonal systems in Lorentz-Zygmund spaces

Cites Work

• Embeddings of the classes \(H^\omega_ p\) in Lorentz spaces
• Some new functional spaces
• ON IMBEDDING IN CLASSES $ \phi(L)$
• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
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