On strong summability of multiple Fourier series and smoothness properties of functions
From MaRDI portal
Publication:1170713
DOI10.1007/BF02073772zbMath0497.42007MaRDI QIDQ1170713
Hans-Juergen Schmeisser, Winfried Sickel
Publication date: 1982
Published in: Analysis Mathematica (Search for Journal in Brave)
Besov spacesfunction spacesimbedding theoremsperiodic Zygmund-spacestrong summability of Fourier seriesTribel-Lizorkin space
Fourier series and coefficients in several variables (42B05) Summability and absolute summability of Fourier and trigonometric series (42A24)
Related Items (8)
An unconditional basis in periodic spaces with dominating mixed smoothness properties ⋮ Characterization of the spaces εφ,p,qs(𝕋) by using differences of partial sums of the Fourier series ⋮ Periodic Besov spaces and generalized moduli of smoothness ⋮ Characterization of periodic function spaces via means of Abel-Poisson and Bessel-potential type ⋮ Characterization of Besov-Triebel-Lizorkin spaces via approximation by Whittaker's cardinal series and related unconditional Schauder bases ⋮ Strong summability of Fourier series and generalized Morrey spaces ⋮ Strong summability of Fourier series and Morrey spaces ⋮ On Besov-Hardy-Sobolev spaces of analytic functions in the unit disc
Cites Work
- Strong approximation by Fourier series and differentiability properties of functions
- On strong summability of Fourier series and differentiability of functions
- On a problem of L. Leindler concerning strong approximation by Fourier series
- Strong and best approximation of Fourier series and the Lipschitz classes
- On \(L_ p\) multipliers
- Spaces of distributions of Besov type on Euclidean n-space. Duality, interpolation
- Some observations on Besov and Lizorkin-Triebel spaces.
- Strong approximation of Fourier series and structural properties of functions
- Über die Sättigungsklasse der starken Approximation durch Teilsummen der Fourierschen Reihe
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On strong summability of multiple Fourier series and smoothness properties of functions
