Multi-parameter paraproducts

Camil Muscalu, Jill Pipher, Terence Tao, Christoph Thiele

Type: Article

Publication Date: 2006-12-31

Citations: 97

DOI: https://doi.org/10.4171/rmi/480

View Publication

Download PDF

Abstract

We prove that the classical Coifman-Meyer theorem holds on any polydisc \mathbf{T}^d of arbitrary dimension d\geq 1 .

Locations

Revista Matemática Iberoamericana - View - PDF
Project Euclid (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF
arXiv (Cornell University) - View - PDF
Revista Matemática Iberoamericana - View - PDF
Project Euclid (Cornell University) - View - PDF
arXiv (Cornell University) - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Multi-parameter paraproducts	2004	Camil Muscalu Jill Pipher Terence Tao Christoph Thiele
+ PDF Chat	Paraproducts in one and several parameters	2007	Michael T. Lacey Jason Metcalfe
+	Paraproducts in One and Several Parameters	2005	Michael T. Lacey Jason Metcalfe
+	Paraproducts in One and Several Parameters	2005	Michael T. Lacey Jason Metcalfe
+	Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO	2012	Sandra Pott Benoît F. Sehba
+	Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO	2012	Sandra Pott Benoît F. Sehba
+ PDF Chat	Logarithmic mean oscillation on the polydisc, endpoint results for multi-parameter paraproducts, and commutators on BMO	2012	Sandra Pott Benoît F. Sehba
+ PDF	Multilinear paraproducts revisited	2015	Loukas Grafakos Danqing He N. J. Kalton Mieczysław Mastyło
+	Logarithmic mean oscillation on the Polydisc, Multi-parameter paraproducts and iterated commutators	2012	Benoît F. Sehba
+ PDF	End-point estimates and multi-parameter paraproducts on higher dimensional tori	2010	John T. Workman
+ PDF	Counterexamples for multi-parameter weighted paraproducts	2020	Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg
+ PDF	Mixed-norm estimates for paraproducts	2017	Cristina Benea Camil Muscalu
+	End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori	2008	John T. Workman
+ PDF Chat	$L^p$ estimates for multi-linear and multi-parameter pseudo-differential operators	2015	Wei Dai Guozhen Lu
+	Boundedness of some multi-parameter fiber-wise multiplier operators	2020	Frédéric Bernicot Polona Durcik
+	Meromorphic Maps of Polydiscs in $$\mathbb {C}^m$$	2024	Pham Nguyen Thu Trang Do Duc Thai Pham Ngoc
+	Multilinear paraproducts on Sobolev spaces	2024	Francesco Di Plinio A. Walton Green Brett D. Wick
+ PDF	An intrinsic characterization of the unit polydisc	2008	Akio Kodama Satoru Shimizu
+	Function theory in polydiscs	1996	Walter Rudin
+	$L^{p}$ estimates for multi-linear and multi-parameter pseudo-differential operators	2013	Wei Dai Guozhen Lu

Works That Cite This (96)

Action	Title	Year	Authors
+ PDF	Largest well-posed spaces for the general diffusion system with nonlocal interactions	2017	Chao Deng Chun Liu
+	Hörmander Type Multipliers on Anisotropic Hardy Spaces	2019	Jiao Chen Liang Huang
+	Various characterizations of product Hardy space	2011	Ji Li Liang Song Chaoqiang Tan
+ PDF	The Boundedness on Mixed Hardy Spaces	2020	Wei Ding Meidi Qin Yueping Zhu
+ PDF Chat	Multiparameter Riesz commutators	2009	Michael T. Lacey Stefanie Petermichl Jill Pipher Brett D. Wick
+	End-point Estimates and Multi-parameter Paraproducts on Higher Dimensional Tori	2008	John T. Workman
+ PDF Chat	Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols	2022	Guozhen Lu Jill Pipher Lu Zhang
+	Bi-parameter Carleson embeddings with product weights	2019	Nicola Arcozzi Pavel Mozolyako Georgios Psaromiligkos Alexander Volberg Pavel Zorin‐Kranich
+	The weak-type Carleson theorem via wave packet estimates	2024	Francesco Di Plinio Anastasios Fragkos
+	Bi‐commutators of fractional integrals on product spaces	2008	Wengu Chen Yongsheng Han Changxing Miao

Works Cited by This (8)

Action	Title	Year	Authors
+ PDF	A characterization of product BMO by commutators	2002	Sarah Hargus Ferguson Michael T. Lacey
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF	Multilinear estimates and fractional integration	1999	Carlos E. Kenig Elias M. Stein
+ PDF	Some recent developments in Fourier analysis and 𝐻^{𝑝}-theory on product domains	1985	Sun Chang Robert Fefferman
+ PDF	Bi-parameter paraproducts	2004	Camil Muscalu Jill Pipher Terence Tao Christoph Thiele
+ PDF	Calderón-Zygmund Operators on Product Spaces	1985	Jean-Lin Journé
+	Some Maximal Inequalities	1971	Charles Fefferman E. M. Stein
+	Bi-parameter paraproducts	2003	Camil Muscalu Jill Pipher Terence Tao Christoph Thiele