We establish a variant sharp estimate for multilinear singular integral operators. As applications, we obtain the weighted norm inequalities on general weights and certain type estimates for these multilinear operators.
@article{bwmeta1.element.bwnjournal-article-smv141i1p25bwm, author = {Guoen Hu and Dachun Yang}, title = {A variant sharp estimate for multilinear singular integral operators}, journal = {Studia Mathematica}, volume = {141}, year = {2000}, pages = {25-22}, zbl = {0983.42009}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv141i1p25bwm} }
Hu, Guoen; Yang, Dachun. A variant sharp estimate for multilinear singular integral operators. Studia Mathematica, Tome 141 (2000) pp. 25-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv141i1p25bwm/
[000] [1] R. A. Adams, Sobolev Spaces, Academic Press, New York, 1975.
[001] [2] J. Cohen, A sharp estimate for a multilinear singular integral on , Indiana Univ. Math. J. 30 (1981), 693-702. | Zbl 0596.42004
[002] [3] J. Cohen and J. Gosselin, On multilinear singular integral operators on , Studia Math. 72 (1982), 199-223. | Zbl 0427.42005
[003] [4] J. Cohen and J. Gosselin, A BMO estimate for multilinear singular integral operators, Illinois J. Math. 30 (1986), 445-464. | Zbl 0619.42012
[004] [5] R. Coifman, R. Rochberg and G. Weiss, Factorization theorems for Hardy spaces in several variables, Ann. of Math. 103 (1976), 611-635. | Zbl 0326.32011
[005] [6] A. Córdoba and C. Fefferman, A weighted norm inequality for singular integrals, Studia Math. 57 (1976), 97-101.
[006] [7] G. B. Folland and E. M. Stein, Hardy Spaces on Homogeneous Groups, Princeton Univ. Press, Princeton, NJ, 1982. | Zbl 0508.42025
[007] [8] J. García-Cuerva and J. L. Rubio de Francia, Weighted Norm Inequalities and Related Topics, North-Holland Math. Stud. 16, North-Holland, Amsterdam, 1985.
[008] [9] S. Hofmann, On certain nonstandard Calderón-Zygmund operators, Studia Math. 109 (1994), 105-131. | Zbl 0826.42012
[009] [10] C. Pérez, Weighted norm inequalities for singular integral operators, J. London Math. Soc. 49 (1994), 296-308. | Zbl 0797.42010
[010] [11] C. Pérez, Endpoint estimate for commutators of singular integral operators, J. Funct. Anal. 128 (1995), 163-185. | Zbl 0831.42010