We study the rough bilinear singular integral, introduced by Coifman and Meyer [8], T Ω (f,
g)(x)= pv∫ R n∫ R n|(y, z)|− 2 n Ω ((y, z)/|(y, z)|) f (x− y) g (x− z) dydz, when Ω is a function in …

We obtain the optimal open range of L p 1 ( R n ) × ⋯ × L p m ( R n ) → L p ( R n ) \documentclass[12pt]{minimal}
\usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} …

We study mm‐linear homogeneous rough singular integral operators L Ω L_Ω associated
with integrable functions Ω Ω on S mn− 1 S^mn-1 with mean value zero. We prove …

We study boundedness properties of one-dimensional bilinear singular integral operators
with homogeneous kernels whose restriction $\Omega $ to the unit sphere $\mathbb S^ 1 …

Multivariable calculus provides a robust approach into the study of functions of several
variables that goes beyond the narrow perspective of studying a single variable by freezing …

Acta Mathematica Sinica, English Series Page 1 Acta Mathematica Sinica, English Series Sep.,
2012, Vol. 28, No. 9, pp. 1769–1778 Published online: December 13, 2011 DOI …

Il est bien connu que la condition de lissage de Hörmander sup y≠ 0⁡∫| x|≥ 2| y|| K (x−
y)− K (x)| dx<∞ implique des estimations faibles de type (1, 1) pour les opérateurs de …

We give a brief introduction of the theory of singular integral operators, then we present the
results that the author and his collaborators obtained in the field and we also discuss the …

En los últimos años ha tomado auge nuevamente el estudio de desigualdades de tipo
mixtas pesadas, debido a que, desde el año 2005 hasta la actualidad, se han resuelto …

This article contains an expanded version of the material covered by the author in two 90-
minute lectures at the 9th international school on Nonlinear Analysis, Function spaces and …