Browse > Article
http://dx.doi.org/10.4134/JKMS.2007.44.6.1233

WEIGHTED INEQUALITIES FOR COMMUTATORS OF POTENTIAL TYPE OPERATORS  

Li, Wenming (COLLEGE OF MATHEMATICS AND INFORMATION SCIENCE HEBEI NORMAL UNIVERSITY)
Publication Information
Journal of the Korean Mathematical Society / v.44, no.6, 2007 , pp. 1233-1241 More about this Journal
Abstract
We derive a kind of weighted norm inequalities which relate the commutators of potential type operators to the corresponding maximal operators.
Keywords
weighted norm inequality; commutator; fractional integra; maximal function;
Citations & Related Records

Times Cited By Web Of Science : 2  (Related Records In Web of Science)
Times Cited By SCOPUS : 2
연도 인용수 순위
1 E. T. Sawyer and R. L. Wheeden, Weighted inequalities for fractional integrals on Eu- clidean and homogeneous spaces, Amer. J. Math. 114 (1992), no. 4, 813-874   DOI   ScienceOn
2 C. Perez, Sharp $L^p-weighted$ Sobolev inequalities, Ann. Inst. Fourier (Grenoble) 45 (1995), no. 3, 809-824   DOI
3 C. Bennett and R. Sharpley, Interpolation of operators Pure and Applied Mathematics, 129. Academic Press, Inc., Boston, MA, 1988
4 C. Perez and R. L. Wheeden, Potential operators, maximal functions, and generalizations of $A\infty$, Potential Anal. 19 (2003), no. 1, 1-33   DOI
5 R. O'Neil, Fractional integration in Orlicz spaces. I., Trans. Amer. Math. Soc. 115 (1965), 300-328   DOI   ScienceOn
6 C. Perez, Two weighted inequalities for potential and fractional type maximal operators, Indiana Univ. Math. J. 43 (1994), no. 2, 663-683   DOI
7 C. Perez, On suffcient conditions for the boundedness of the Hardy-Littlewood maximal operator between weighted Lp-spaces with different weights, Proc. London Math. Soc. (3) 71 (1995), no. 1, 135-157   DOI
8 Y. Ding, S. Z. Lu, and P. Zhang, Weak estimates for commutators of fractional integral operators, Sci. China Ser. A 44 (2001), no. 7, 877-888   DOI   ScienceOn