On the interrelation of the generalized Besov-Nikols'kiǐ and Weyl-Nikols'kiǐ classes of functions

DOI10.1007/BF01904789zbMath0892.46029OpenAlexW1861258841MaRDI QIDQ1382382

B. V. Simonov, Mikhail K. Potapov

Publication date: 26 March 1998

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01904789

zbMATH Keywords

embedding theoremsBesov-Nikols'kij spaceWeyl-Nikols'kij space

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Multipliers in one variable harmonic analysis (42A45) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (9)

Relations between mixed moduli of smoothness, and embedding theorems for Nikol'skii classes ⋮ Generalization of a theorem on Besov-Nikol'skiĭ classes ⋮ Mixed moduli of smoothness in mixed metrics ⋮ Relation between moduli of smoothness and partial sums of Fourier series and embedding theorems for Nikol'skii classes ⋮ Superconductivity due to condensation of monopoles around RCD strings in \(SU(2)\) gauge theory ⋮ Trigonometric series with coefficients general monotone with respect to subsequences ⋮ Relations between moduli of smoothness in different metrics ⋮ Some inequalities of trigonometric approximation in weighted Orlicz spaces ⋮ Multiplicator type operators and approximation of periodic functions of one variable by trigonometric polynomials

Cites Work

• Unnamed Item
• On \(\mathrm\text{ Ш}\)-rigidity of groups of order \(p^6\).
• Theorems on Fourier Series and Power Series

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