Lebesgue points of double Fourier series and strong summability
From MaRDI portal
Publication:495190
DOI10.1016/j.jmaa.2015.06.060zbMath1405.42004OpenAlexW798183341MaRDI QIDQ495190
Publication date: 9 September 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.060
double Fourier seriesstrong summability\(\theta\)-summabilityFejér summabilityLebesgue pointsMarcinkiewicz summability
Convergence and absolute convergence of Fourier and trigonometric series (42A20) Summability in several variables (42B08) Summability and absolute summability of Fourier and trigonometric series (42A24)
Related Items (6)
Almost everywhere strong \(C,1,0\) summability of 2-dimensional trigonometric Fourier series ⋮ Almost everywhere convergence of strong Nörlund logarithmic means of Walsh-Fourier series ⋮ On exponential summability of rectangular partial sums of double trigonometric Fourier series ⋮ Unnamed Item ⋮ Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability ⋮ Almost everywhere strong summability of Fejér means of rectangular partial sums of two-dimensional Walsh-Fourier series
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Marcinkiewicz-summability of multi-dimensional Fourier transforms and Fourier series
- Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
- Lebesgue points of two-dimensional Fourier transforms and strong summability
- Points of strong summability of Fourier series
- The strong summability of Fourier transforms
- (\(C,\alpha\)) summability of Walsh--Kaczmarz--Fourier series
- Pointwise convergence of cone-like restricted two-dimensional \((C,1)\) means of trigonometric Fourier series
- Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
- The Segal algebra \(\mathbf S_0(\mathbb R^d)\) and norm summability of Fourier series and Fourier transforms
- On the Marcinkiewicz-Fejér means of double Fourier series with respect to the Walsh-Kaczmarz system
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- Summability of Multi-Dimensional Trigonometric Fourier Series
- Wiener amalgams and pointwise summability of Fourier transforms and Fourier series
- A GENERALIZATION OF A THEOREM OF MARCINKIEWICZ
- On the convergence of multiple Fourier series
- The strong summability of Fourier series
- On the Convergence and Summability of Power Series on the Circle of Convergence (II)
- Points of strong summability of Fourier series
This page was built for publication: Lebesgue points of double Fourier series and strong summability