Geodesic
Littlewood–Paley $g$-functions with rough kernels on homogeneous groups
Yong Ding1 ; Xinfeng Wu2
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

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
@article{10_4064_sm195_1_4,
     author = {Yong Ding and Xinfeng Wu},
     title = {Littlewood{\textendash}Paley $g$-functions with rough
kernels on homogeneous groups},
     journal = {Studia Mathematica},
     pages = {51--86},
     publisher = {mathdoc},
     volume = {195},
     number = {1},
     year = {2009},
     doi = {10.4064/sm195-1-4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm195-1-4/}
}
TY  - JOUR
AU  - Yong Ding
AU  - Xinfeng Wu
TI  - Littlewood–Paley $g$-functions with rough
kernels on homogeneous groups
JO  - Studia Mathematica
PY  - 2009
SP  - 51
EP  - 86
VL  - 195
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm195-1-4/
DO  - 10.4064/sm195-1-4
LA  - en
ID  - 10_4064_sm195_1_4
ER  - 
%0 Journal Article
%A Yong Ding
%A Xinfeng Wu
%T Littlewood–Paley $g$-functions with rough
kernels on homogeneous groups
%J Studia Mathematica
%D 2009
%P 51-86
%V 195
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm195-1-4/
%R 10.4064/sm195-1-4
%G en
%F 10_4064_sm195_1_4
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

Cité par Sources :