Spaces of functions of generalized bounded variation. I. ~Embedding theorems. Estimates for Lebesgue constants

zbMath0944.46025MaRDI QIDQ1975804

E. I. Berezhnoi

Publication date: 4 May 2000

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

zbMATH Keywords

Lebesgue constantsFourier seriesembedding theoremstrigonometric systemexact two-sided estimatesLebesgue constants of the trigonometric systemspace of functions of generalized bounded variation

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) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Convergence of Fourier series and of inverse transforms (43A50)

Related Items (4)

Two-sided estimates of the \(K\)-functional for spaces of functions of generalized bounded variation ⋮ A new estimate of double Fourier coefficients for functions of bounded generalized variation ⋮ Two-sided estimates of Lebesgue constants for spaces of functions of generalized bounded variation and Hölder spaces ⋮ The modulus of \(p\)-variation and its applications

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