The martingale Hardy type inequality for Marcinkiewicz-Fejér means of two-dimensional conjugate Walsh-Fourier series
From MaRDI portal
Publication:353544
DOI10.1007/S10114-011-9551-7zbMath1282.42026OpenAlexW2397597215MaRDI QIDQ353544
Publication date: 16 July 2013
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-011-9551-7
Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Fourier series and coefficients in several variables (42B05) Conjugate functions, conjugate series, singular integrals (42A50)
Related Items (9)
On the convergence of Fejér means of Walsh-Fourier series in the space \(H_p\) ⋮ Almost everywhere convergence of Cesàro-Marcinkiewicz means of two-dimensional Fourier series on the group of \(2\)-adic integers ⋮ Some new restricted maximal operators of Fejér means of Walsh-Fourier series ⋮ Martingale Hardy spaces and some new weighted maximal operators of Fejér means of Walsh-Fourier series ⋮ The Walsh-Kaczmarz-Marcinkiewicz means and Hardy spaces ⋮ Strong convergence theorems for Walsh-Fejér means ⋮ Walsh-Marcinkiewicz means and Hardy spaces ⋮ Approximation by Walsh-Marcinkiewicz means on the Hardy space \(H_{2/3}\) ⋮ Conjugate transforms on dyadic group
Cites Work
- The weak type inequality for the maximal operator of the Marcinkiewicz-Fejér means of the two-dimensional Walsh-Fourier series
- Martingale Hardy spaces and their applications in Fourier analysis
- Summability of Multi-Dimensional Fourier Series and Hardy Spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: The martingale Hardy type inequality for Marcinkiewicz-Fejér means of two-dimensional conjugate Walsh-Fourier series
