Geodesic
Multilinear Calderón–Zygmund operators on weighted Hardy spaces
Wenjuan Li1 ; Qingying Xue2 ; Kôzô Yabuta3
1 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, P.R. China
2 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, P.R. China and Institute of Applied Physics and Computational Mathematics PO Box 8009, Beijing 100088, P.R. China and Department of Mathematics University of California Berkeley, CA 94720-3840, U.S.A.
3 Research Center for Mathematical Sciences Kwansei Gakuin University Gakuen 2-1, Sanda 669-1337, Japan
Studia Mathematica, Tome 199 (2010) no. 1, pp. 1-16 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

Grafakos–Kalton [Collect. Math. 52 (2001)] discussed the boundedness of multilinear Calderón–Zygmund operators on the product of Hardy spaces. Then Lerner et al. [Adv. Math. 220 (2009)] defined $A_{\vec{p}}$ weights and built a theory of weights adapted to multilinear Calderón–Zygmund operators. In this paper, we combine the above results and obtain some estimates for multilinear Calderón–Zygmund operators on weighted Hardy spaces and also obtain a weighted multilinear version of an inequality for multilinear fractional integrals, which is related to the classical Trudinger inequality.
DOI : 10.4064/sm199-1-1
Keywords: grafakos kalton collect math discussed boundedness multilinear calder zygmund operators product hardy spaces lerner adv math defined vec weights built theory weights adapted multilinear calder zygmund operators paper combine above results obtain estimates multilinear calder zygmund operators weighted hardy spaces obtain weighted multilinear version inequality multilinear fractional integrals which related classical trudinger inequality

Wenjuan Li 1 ; Qingying Xue 2 ; Kôzô Yabuta 3

1 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, P.R. China
2 School of Mathematical Sciences Beijing Normal University Laboratory of Mathematics and Complex Systems Ministry of Education Beijing 100875, P.R. China and Institute of Applied Physics and Computational Mathematics PO Box 8009, Beijing 100088, P.R. China and Department of Mathematics University of California Berkeley, CA 94720-3840, U.S.A.
3 Research Center for Mathematical Sciences Kwansei Gakuin University Gakuen 2-1, Sanda 669-1337, Japan 
@article{10_4064_sm199_1_1,
     author = {Wenjuan Li and Qingying Xue and K\^oz\^o Yabuta},
     title = {Multilinear {Calder\'on{\textendash}Zygmund}  operators on weighted {Hardy} spaces},
     journal = {Studia Mathematica},
     pages = {1--16},
     year = {2010},
     volume = {199},
     number = {1},
     doi = {10.4064/sm199-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm199-1-1/}
}
TY  - JOUR
AU  - Wenjuan Li
AU  - Qingying Xue
AU  - Kôzô Yabuta
TI  - Multilinear Calderón–Zygmund  operators on weighted Hardy spaces
JO  - Studia Mathematica
PY  - 2010
SP  - 1
EP  - 16
VL  - 199
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm199-1-1/
DO  - 10.4064/sm199-1-1
LA  - en
ID  - 10_4064_sm199_1_1
ER  - 
%0 Journal Article
%A Wenjuan Li
%A Qingying Xue
%A Kôzô Yabuta
%T Multilinear Calderón–Zygmund  operators on weighted Hardy spaces
%J Studia Mathematica
%D 2010
%P 1-16
%V 199
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm199-1-1/
%R 10.4064/sm199-1-1
%G en
%F 10_4064_sm199_1_1
Wenjuan Li; Qingying Xue; Kôzô Yabuta. Multilinear Calderón–Zygmund  operators on weighted Hardy spaces. Studia Mathematica, Tome 199 (2010) no. 1, pp. 1-16. doi: 10.4064/sm199-1-1

Cité par Sources :