An estimate of the maximal operator of the Nörlund logarithmic means with respect to the character system of the group of 2-adic integers on the Hardy space \(H_1\)

DOI10.1007/s41980-022-00701-3OpenAlexW4229369005WikidataQ114217337 ScholiaQ114217337MaRDI QIDQ2682727

Nacima Memić

Publication date: 1 February 2023

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s41980-022-00701-3

zbMATH Keywords

Hardy spaceNörlund logarithmic means2-adic integers

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Character groups and dual objects (43A40)

Related Items (2)

\((H_p-L_p)\)-type inequalities for subsequences of Nörlund means of Walsh-Fourier series ⋮ Maximal operators of Walsh-Nörlund means on the dyadic Hardy spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the partial sums of Vilenkin-Fourier series
• Martingale Hardy spaces and their applications in Fourier analysis
• On the convergence of partial sums with respect to Vilenkin system on the martingale Hardy spaces
• On the Nörlund logarithmic means with respect to Vilenkin system in the martingale Hardy space \(H_1\)
• An analogy of the Carleson-Hunt theorem with respect to Vilenkin systems
• Maximal operators of Vilenkin-Nörlund means
• A sharp boundedness result for restricted maximal operators of Vilenkin-Fourier series on martingale Hardy spaces
• Uniform and \(L\)-convergence of logarithmic means of Walsh-Fourier series
• Almost everywhere convergence of a subsequence of logarithmic means of Fourier series on the group of 2-adic integers
• On the partial sums of Walsh–Fourier series
• Norm summability of Nörlund logarithmic means on unbounded Vilenkin groups
• TWO-SIDED ESTIMATES OF THE LEBESGUE CONSTANTS WITH RESPECT TO VILENKIN SYSTEMS AND APPLICATIONS
• Properties of some subsequences of the Walsh-Kaczmarz-Dirichlet kernels
• Martingale Hardy Spaces and Summability of One-Dimensional Vilenkin-Fourier Series
• Approximation by Marcinkiewicz ϴ-means of double Walsh-Fourier series

This page was built for publication: An estimate of the maximal operator of the Nörlund logarithmic means with respect to the character system of the group of 2-adic integers on the Hardy space \(H_1\)