Ulyanov-type embedding theorems for functions on zero-dimensional locally compact groups

DOI10.1134/S0037446621010043zbMath1469.46025OpenAlexW3126289875MaRDI QIDQ2221959

Sergey S. Volosivets

Publication date: 3 February 2021

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

Full work available at URL: https://doi.org/10.1134/s0037446621010043

zbMATH Keywords

continuity modulusembedding theoremsHölder spaceLebesgue space \(L^p \)

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) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (1)

Weighted integrability of multiple multiplicative Fourier transforms

Cites Work

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• THE IMBEDDING OF CERTAIN FUNCTION CLASSESH_p^ω
• NECESSARY CONDITIONS FOR IMBEDDING THE FUNCTION CLASSESH_p^ω
• IMBEDDING THEOREMS AND RELATIONS BETWEEN BEST APPROXIMATIONS (MODULI OF CONTINUITY) IN DIFFERENT METRICS
• BEST APPROXIMATIONS OF FUNCTIONS IN THEL_pMETRIC BY HAAR AND WALSH POLYNOMIALS

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