Geodesic
Littlewood–Paley $g$-functions with rough kernels on homogeneous groups
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
Studia Mathematica, Tome 195 (2009) no. 1, pp. 51-86 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $\mathbb G$
DOI : 10.4064/sm195-1-4
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

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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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

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