Marcinkiewicz-summability of multi-dimensional Fourier transforms and Fourier series

DOI10.1016/j.jmaa.2011.02.021zbMath1220.42006OpenAlexW1973783877MaRDI QIDQ531900

Ferenc Weisz

Publication date: 20 April 2011

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.2011.02.021

zbMATH Keywords

Hardy spaces of distributionsMarcinkiewicz-\(\theta\)-summationmulti-dimensional Fourier transforms and series

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Summability in several variables (42B08)

Related Items (8)

Multi-dimensional Fourier transforms, Lebesgue points and strong summability ⋮ Strong summability of Fourier transforms at Lebesgue points and Wiener amalgam spaces ⋮ Lebesgue points of two-dimensional Fourier transforms and strong summability ⋮ Inversion formulas for the continuous wavelet transform ⋮ Summability methods for elastic local fields in periodic heterogeneous materials ⋮ Lebesgue points of double Fourier series and strong summability ⋮ Marcinkiewicz summability of Fourier series, Lebesgue points and strong summability ⋮ Besov spaces with generalized smoothness and summability of multiple Fourier series

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Marcinkiewicz-Fejér means of \(d\)-dimensional Walsh--Fourier series
• Almost everywhere summability of multiple Walsh-Fourier series.
• A generalization for Fourier transforms of a theorem due to Marcinkiewicz
• Almost everywhere convergence of \((C,\alpha)\)-means of cubical partial sums of \(d\)-dimensional Walsh--Fourier series
• On convergence and growth of partial sums of Fourier series
• On Marcinkiewicz-Riesz Summability of Fourier Integrals in Hardy-Spaces
• 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
• A GENERALIZATION OF A THEOREM OF MARCINKIEWICZ
• On the convergence of multiple Fourier series

This page was built for publication: Marcinkiewicz-summability of multi-dimensional Fourier transforms and Fourier series