Multi-Parameter Hardy Spaces Theory and Endpoint Estimates for Multi-Parameter Singular Integrals

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

(2022) Wei Ding et al.   FORUM MATHEMATICUM

Hörmander Fourier multiplier theorems with optimal Besov regularity on multi-parameter Hardy spaces

(2021) Jiao Chen et al.   FORUM MATHEMATICUM

Boundedness of multi-parameter pseudo-differential operators on multi-parameter local Hardy spaces

(2020) Jiao Chen et al.   FORUM MATHEMATICUM

Boundedness of inhomogeneous Journé’s type operators on multi-parameter local Hardy spaces

(2020) Wei Ding et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Discrete Littlewood–Paley–Stein characterization of multi-parameter local Hardy spaces

(2019) Wei Ding et al.   FORUM MATHEMATICUM

Multi-parameter local Hardy spaces

(2019) Wei Ding et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

L p L^{p} boundedness of rough bi-parameter Fourier integral operators

(2018) Qing Hong et al.   FORUM MATHEMATICUM

Weighted L p estimates for rough bi-parameter Fourier integral operators

(2018) Qing Hong et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Algebras of Singular Integral Operators with Kernels Controlled by Multiple Norms

(2018) Alexander Nagel et al.   MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Hörmander type theorem on bi-parameter Hardy spaces for bi-parameter Fourier multipliers with optimal smoothness

(2018) Jiao Chen et al.   REVISTA MATEMATICA IBEROAMERICANA

L p estimates for bi-parameter and bilinear Fourier integral operators

(2016) Qing Hong et al.   ACTA MATHEMATICA SINICA-ENGLISH SERIES

Multi-parameter Triebel–Lizorkin spaces associated with the composition of two singular integrals and their atomic decomposition

(2016) Wei Ding et al.   FORUM MATHEMATICUM

Duality of multi-parameter Triebel-Lizorkin spaces associated with the composition of two singular integral operators

(2016) Wei Ding et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

Dual Spaces of Weighted Multi-Parameter Hardy Spaces Associated with the Zygmund Dilation

(2016) Xiaolong Han et al.   ADVANCED NONLINEAR STUDIES

Symbolic Calculus and Boundedness of Multi-parameter and Multi-linear Pseudo-differential Operators

(2016) Qing Hong et al.   ADVANCED NONLINEAR STUDIES

Hörmander type theorems for multi-linear and multi-parameter Fourier multiplier operators with limited smoothness

(2014) Jiao Chen et al.   NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS

Flag Hardy spaces and Marcinkiewicz multipliers on the Heisenberg group

(2014) Yongsheng Han et al.   Analysis & PDE

Multi-parameter singular Radon transforms II: The L p theory

(2013) Elias M. Stein et al.   ADVANCES IN MATHEMATICS

Boundedness criterion of Journéʼs class of singular integrals on multiparameter Hardy spaces

(2013) Yongsheng Han et al.   JOURNAL OF FUNCTIONAL ANALYSIS

Boundedness of Singular Integrals in Journé’s Class on Weighted Multiparameter Hardy Spaces

(2013) Yongsheng Han et al.   JOURNAL OF GEOMETRIC ANALYSIS

Multi-parameter singular Radon transforms

(2013) Elias M. Stein et al.   MATHEMATICAL RESEARCH LETTERS

Hardy spaces associated with different homogeneities and boundedness of composition operators

(2013) Yongsheng Han et al.   REVISTA MATEMATICA IBEROAMERICANA

Singular integrals and weighted Triebel-Lizorkin and Besov spaces of arbitrary number of parameters

(2012) Guo Zhen Lu et al.   ACTA MATHEMATICA SINICA-ENGLISH SERIES

Multi-parameter singular Radon transforms III: Real analytic surfaces

(2012) Elias M. Stein et al.   ADVANCES IN MATHEMATICS

Duality theory of weighted Hardy spaces with arbitrary number of parameters

(2012) Guozhen Lu et al.   FORUM MATHEMATICUM

Multi-parameter singular radon transforms I: The L 2 theory

(2012) Brian Street   JOURNAL D ANALYSE MATHEMATIQUE

Singular integrals with flag kernels on homogeneous groups, I

(2012) Alexander Nagel et al.   REVISTA MATEMATICA IBEROAMERICANA

Multiparameter Hardy space theory on Carnot-Carathéodory spaces and product spaces of homogeneous type

(2012) Yongsheng Han et al.   TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

The Calderón-Zygmund decomposition and interpolation on weighted Hardy spaces

(2011) Zhuo Ping Ruan   ACTA MATHEMATICA SINICA-ENGLISH SERIES

Boundedness of Singular Integrals on Multiparameter Weighted Hardy Spaces $\text\textit{H^\text\textit{p_{\text\textit{w\ (\mathbb{R}^{\text\textit{n\times \mathbb{R}^{\text\textit{m)$

(2011) Yong Ding et al.   POTENTIAL ANALYSIS

Multi-parameter Carnot-Carathéodory balls and the theorem of Frobenius

(2011) Brian Street   REVISTA MATEMATICA IBEROAMERICANA

Multi-parameter Triebel-Lizorkin and Besov spaces associated with flag singular integrals

(2010) Yong Ding et al.   ACTA MATHEMATICA SINICA-ENGLISH SERIES

Hp → Hp boundedness implies Hp → Lp boundedness

(2010) Yongsheng Han et al.   FORUM MATHEMATICUM

Discrete Calderón’s Identity, Atomic Decomposition and Boundedness Criterion of Operators on Multiparameter Hardy Spaces

(2010) Y. Han et al.   JOURNAL OF GEOMETRIC ANALYSIS

Weighted Hardy spaces in the three-parameter case

(2010) Zhuoping Ruan   JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

A Theory of Besov and Triebel-Lizorkin Spaces on Metric Measure Spaces Modeled on Carnot-Carathéodory Spaces

(2009) Yongsheng Han et al.   Abstract and Applied Analysis