Boundedness of multilinear singular integral oprators on Hardy and Herz-type spaces
LIN, Yan ; LU, Shanzhen
Hokkaido Math. J., Tome 36 (2007) no. 4, p. 585-613 / Harvested from Project Euclid
In this paper, the authors study a class of multilinear singular integral operators on product of Hardy spaces. The boundedness of another class of multilinear singular integral operators is also discussed on product of Herz-type spaces. Moreover, as their special cases, the corresponding results of multilinear fractional integral operator and multilinear Calder\'on-Zygmund operator can be obtained, respectively.
Publié le : 2007-08-15
Classification:  multilinear singular integral operator,  Hardy space,  Herz space,  Herz-type Hardy space,  Multilinear Calder\'on-Zygmund operator,  42B30,  42B20
@article{1277472868,
     author = {LIN, Yan and LU, Shanzhen},
     title = {Boundedness of multilinear singular integral oprators on Hardy and Herz-type spaces},
     journal = {Hokkaido Math. J.},
     volume = {36},
     number = {4},
     year = {2007},
     pages = { 585-613},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1277472868}
}
LIN, Yan; LU, Shanzhen. Boundedness of multilinear singular integral oprators on Hardy and Herz-type spaces. Hokkaido Math. J., Tome 36 (2007) no. 4, pp.  585-613. http://gdmltest.u-ga.fr/item/1277472868/