1School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems (BNU) Beijing, 100875, China 2Department of Mathematics China University of Mining and Technology (Beijing) Beijing, 100083, China
Studia Mathematica, Tome 195 (2009) no. 1, pp. 51-86
Let $\mathbb G$ be a homogeneousgroup on ${\mathbb R}^n$ whose
multiplication and inverse operations are polynomial maps. In 1999, T.
Tao proved that the singular integral operator with $L\log^+\!\!L$
function kernel on $\gg$ is both of type $(p,p)$ and of weak type
$(1,1)$. In this paper, the same results are proved for the
Littlewood–Paley $g$-functions
on $\mathbb G$
Keywords:
mathbb homogeneousgroup mathbb whose multiplication inverse operations polynomial maps tao proved singular integral operator log function kernel type weak type paper results proved littlewood paley g functions nbsp mathbb g
Affiliations des auteurs :
Yong Ding
1
;
Xinfeng Wu
2
1
School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems (BNU) Beijing, 100875, China
2
Department of Mathematics China University of Mining and Technology (Beijing) Beijing, 100083, China
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title = {Littlewood{\textendash}Paley $g$-functions with rough
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Yong Ding; Xinfeng Wu. Littlewood–Paley $g$-functions with rough
kernels on homogeneous groups. Studia Mathematica, Tome 195 (2009) no. 1, pp. 51-86. doi: 10.4064/sm195-1-4
