[图书][B] Summability of multi-dimensional Fourier series and Hardy spaces

F Weisz - 2013 - books.google.com
The history of martingale theory goes back to the early fifties when Doob [57] pointed out the
connection between martingales and analytic functions. On the basis of Burkholder's …

Harmonic analysis on product spaces

R Fefferman - Annals of Mathematics, 1987 - JSTOR
The classical theory of Calderon-Zygmund [1] may be described as centering around the
Hardy-Littlewood maximal operator and its relationship with certain singular integral …

Bi-parameter paraproducts

C Muscalu, J Pipher, T Tao, C Thiele - 2004 - projecteuclid.org
Bi-parameter paraproducts Page 1 Acta Math., 193 (2004), 269-296 (~) 2004 by Institut
Mittag-Leffier. All rights reserved Bi-parameter paraproducts CAMIL MUSCALU Cornell …

A characterization of product BMO by commutators

SH Ferguson, MT Lacey - 2002 - projecteuclid.org
In this paper we establish a commutator estimate which allows one to concretely identify the
product BMO space, BMO (R2+ x R2+), of A. Chang and R. Fefferman, as an operator space …

Multiparameter singular integrals and maximal functions

F Ricci, EM Stein - Annales de l'institut Fourier, 1992 - numdam.org
Multiparameter singular integrals and maximal functions Page 1 ANNALES DE L’INSTITUT
FOURIER FULVIO RICCI ELIAS M. STEIN Multiparameter singular integrals and maximal …

Multi-parameter paraproducts

C Muscalu, J Pipher, T Tao, C Thiele - 2006 - ems.press
Multi-parameter paraproducts Page 1 Rev. Mat. Iberoamericana 22 (2006), no. 3, 963–976
Multi-parameter paraproducts Camil Muscalu, Jill Pipher, Terence Tao and Christoph Thiele …

Two problems of Calderón-Zygmund theory on product-spaces

JL Journé - Annales de l'institut Fourier, 1988 - numdam.org
R. Fefferman a montré que sur un espace-produit à deux facteurs un opérateur T borné sur
L 2 est également borné de L∞ dans BMO du produit si l'oscillation moyenne sur un …

[图书][B] Convergence and Summability of Fourier Transforms and Hardy Spaces

F Weisz - 2017 - Springer
Convergence and Summability of Fourier Transforms and Hardy Spaces Page 1 Applied and
Numerical Harmonic Analysis Ferenc Weisz Convergence and Summability of Fourier …

Fefferman type criterion on weighted bi-parameter local Hardy spaces and boundedness of bi-parameter pseudodifferential operators

W Ding, G Lu - Forum Mathematicum, 2022 - degruyter.com
To study the boundedness of bi-parameter singular integral operators of non-convolution
type in the Journé class, Fefferman discovered a boundedness criterion on bi-parameter …

Weighted anisotropic product Hardy spaces and boundedness of sublinear operators

M Bownik, B Li, D Yang, Y Zhou - Mathematische Nachrichten, 2010 - Wiley Online Library
Let A1 and A2 be expansive dilations, respectively, on ℝn and ℝm. Let A≡(A1, A2) and 𝒜p
(A) be the class of product Muckenhoupt weights on ℝn× ℝm for p∈(1,∞]. When p∈(1,∞) …