Discrete analogues in harmonic analysis, I: ℓ 2 estimates for singular radon transforms

Elias M. Stein, Stephen Wainger

Type: Article

Publication Date: 1999-12-01

Citations: 73

DOI: https://doi.org/10.1353/ajm.1999.0046

View Publication

Locations

American Journal of Mathematics - View

Similar Works

Action	Title	Year	Authors
+	A note on twisted discrete singular Radon transforms	2010	Lillian B. Pierce
+	A note on twisted discrete singular Radon transforms	2010	Lillian B. Pierce
+ PDF Chat	A note on twisted discrete singular Radon transforms	2010	Lillian B. Pierce
+	Discrete analogues of singular and maximal Radon transforms	1998	Stephen Wainger
+ PDF Chat	Square function estimates for discrete Radon transforms	2017	Mariusz Mirek
+ PDF Chat	Discrete Radon transforms and applications to ergodic theory	2007	Alexandru D. Ionescu Elias M. Stein Ákos Magyar Stephen Wainger
+ PDF Chat	Discrete analogues of singular Radon transforms	1990	E. M. Stein Stephen Wainger
+	Criterion of the boundedness of singular integrals on spaces of homogeneous type	2016	Yanchang Han Yongsheng Han Ji Li
+	Hardy Space Theory And Endpoint Estimates For Multi-Parameter Singular Radon Transforms	2018	Jiawei Shen
+	Estimates for singular radon transforms and pseudodifferential operators with singular symbols	1990	Allan Greenleaf Günther Uhlmann
+ PDF Chat	$L^p$ boundedness of discrete singular Radon transforms	2005	Alexandru D. Ionescu Stephen Wainger
+	Singular integrals and rectifiability	2016	Daniel Girela Sarrión
+	Criterion of the boundedness of singular integrals on spaces of homogeneous type	2016	Yanchang Han Yongsheng Han Ji Li
+	Non-homogeneous harmonic analysis: 16 years of development	2013	Alexander Volberg Vladimir Eiderman
+	Averages along polynomial sequences in discrete nilpotent groups: singular Radon transforms	2012	Alexandru D. Ionescu Ákos Magyar Stephen Wainger
+	Singular integrals and Sobolev spaces	1971	Umberto Neri
+	Singular Integral Operators and Approximation by Wavelets	2003	Qixiang Yang
+	Coorbit spaces and wavelet coefficient decay over general dilation groups	2012	Hartmut Führ
+	Coorbit spaces and wavelet coefficient decay over general dilation groups	2012	Hartmut Führ
+	Fractional Integrals, Singular Integrals, and Hardy Spaces	1999	Steven G. Krantz

Works That Cite This (77)

Action	Title	Year	Authors
+ PDF Chat	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">(</mml:mo><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi></mml:mrow></mml:msup><mml:mo stretchy="false">)</mml:mo></mml:math>-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2018	Mariusz Mirek Elias M. Stein Bartosz Trojan
+	Reverse dynamic inequalities and higher integrability theorems	2018	S. H. Saker I. Kubiaczyk
+	Discrete Hilbert transform à la Gundy–Varopoulos	2018	Nicola Arcozzi Komla Domelevo Stefanie Petermichl
+ PDF Chat	Sparse bounds for discrete singular Radon transforms	2020	Theresa C. Anderson Bingyang Hu Joris Roos
+	$\ell^p\big(\mathbb Z^d\big)$-estimates for discrete operators of Radon type: Maximal functions and vector-valued estimates	2015	Mariusz Mirek Elias M. Stein Bartosz Trojan
+	Discrete analogues of maximally modulated singular integrals of Stein-Wainger type, II	2021	Ben Krause Joris Roos
+ PDF Chat	Pseudo-Differential Operators on $${\mathbb {Z}}^n$$ Z n with Applications to Discrete Fractional Integral Operators	2019	Duván Cardona
+ PDF Chat	A discrete carleson theorem along the primes with a restricted supremum	2017	Laura Cladek Kevin Henriot Ben Krause Izabella Łaba Malabika Pramanik
+	A Discrete Quadratic Carleson Theorem on $ \ell ^2 $ with a Restricted Supremum	2015	Ben Krause Michael T. Lacey
+	Unified Framework for Continuous and Discrete Relations of Gehring and Muckenhoupt Weights on Time Scales	2024	S. H. Saker Naglaa Mohammed Haytham M. Rezk Ahmed I. Saied Khaled Aldwoah Ayman Alahmade

Works Cited by This (12)

Action	Title	Year	Authors
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+	The Method of Trigonometrical Sums in the Theory of Numbers	2004	Ivan Matveevich Vinogradov K. F. Roth Anne Ashley Davenport
+ PDF Chat	Singular and Maximal Radon Transforms: Analysis and Geometry	1999	Michael Christ Alexander Nagel Elias M. Stein Stephen Wainger
+	Ten Lectures on the Interface between Analytic Number Theory and Harmonic Analysis	1994	Hugh L. Montgomery
+ PDF Chat	On the existence of certain singular integrals	1952	A. P. Calderón A. Zygmund
+	ON A SPECIAL TRIGONOMETRIC SERIES AND ITS APPLICATIONS	1989	Геннадий Иванович Архипов К. И. Осколков
+ PDF Chat	Pointwise ergodic theorems for arithmetic sets	1989	Jean Bourgain
+	On the maximal ergodic theorem for certain subsets of the integers	1988	Jean Bourgain
+ PDF Chat	Discrete analogues of singular Radon transforms	1990	E. M. Stein Stephen Wainger
+	MULTIPLE TRIGONOMETRIC SUMS	1976	G I Arhipov V N Čubarikov