A uniform estimate for quartile operators
type: Item
instance of: scholarly article
title: A uniform estimate for quartile operators
zbMATH Open document ID: 1023.42004
DOI: 10.4171/RMI/313
author: Christoph Thiele
published in: Revista Matemática Iberoamericana
publication date: 2003-11-04T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.rmi/1045578695
full work available at URL: https://eudml.org/doc/39650
review text: A family \(H_L\) of modified quartile operators is defined with the Walsh wave packets and it is proved that the operators \(H_L\) are uniformly of weak type \(L^2 \times L^2 \to L^{1,\infty}\).
reviewed by: Ferenc Weisz
Mathematics Subject Classification ID: 42A50
Mathematics Subject Classification ID: 42C10
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 1803985
zbMATH Keywords: Walsh wave packets
zbMATH Keywords: quartile operators
zbMATH Keywords: bilinear Hilbert transform
MaRDI profile type: Publication
cites work: Sur la convergence presque partout des séries de Fourier-Walsh des fonctions de l'espace L²(0,1)
cites work: On convergence and growth of partial sums of Fourier series
cites work: The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\)
cites work: \(L^p\) estimates on the bilinear Hilbert transform for \(2<p<\infty\)
cites work: L p estimates for the bilinear Hilbert transform
cites work: On Calderón's conjecture
cites work: On Calderón’s conjecture for the bilinear Hilbert transform
cites work: Time-frequency analysis in the discrete phase plane
cites work: The quartile operator and pointwise convergence of Walsh series
cites work: The maximal quartile operator
OpenAlex ID: W2030436265
description: scientific article; zbMATH DE number 1803985