Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on L^p （X）, 1 〈 p 〈 ∞. We give a sufficient condition on the kernel k（x,y） of Tso thatwhen a func...Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on L^p （X）, 1 〈 p 〈 ∞. We give a sufficient condition on the kernel k（x,y） of Tso thatwhen a function b ∈ BMO （X）,the commutator [b,T] （f）=T （b f）- bT （f） is bounded on spaces L^p for all p, 1 〈 p 〈 ∞.展开更多
The boundedness of multilinear Calderdn-Zygmund operators and their commutators with bounded mean oscillation （BMO） functions in variable exponent Morrey spaces are obtained.
In this paper a representation theorem of harmonic functions on manifolds is set up. As an application, a characterization of BMO in terms of Carleson measures is obtained.
A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.
In this article, we prove the boundedness of commutators generated by BochnerRiesz operators below the critical index and BMO functions on the class of radial functions in Lp（Rn） with ｜1/p-1/2｜〈（1＋2α）/（2n）.
基金Supported by the National Natural Science Foundation of China
文摘Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on L^p （X）, 1 〈 p 〈 ∞. We give a sufficient condition on the kernel k（x,y） of Tso thatwhen a function b ∈ BMO （X）,the commutator [b,T] （f）=T （b f）- bT （f） is bounded on spaces L^p for all p, 1 〈 p 〈 ∞.
基金The first author was supported by the TianYuan Special Funds of the National Natural Science Foundation of China （Grant No. 11426221） and the High Level Introduction of Talent Research Start-up Fund by Central South University of Forestory and Technology （Grant No. 1040212） the second author was supported by the National Natural Science Foundation of China （Grant No. 11361020）.
文摘The boundedness of multilinear Calderdn-Zygmund operators and their commutators with bounded mean oscillation （BMO） functions in variable exponent Morrey spaces are obtained.
文摘In this paper a representation theorem of harmonic functions on manifolds is set up. As an application, a characterization of BMO in terms of Carleson measures is obtained.
基金Supported by Beijing Jiaotong University Science Research Foundation (2004SM056)
文摘A generalization of the usual Green function to a kind of nonlinear elliptic equation of divergence form is discussed. The regularity and comparison principle of Green function in the sense of distribution are shown.
基金supported by National Natural Science Foundation of China (10871024, 10931001, and 10971141)the Beijing Natural Science Foundation (1092004)+1 种基金Introduces Talent Fund Projects of Tianjin Normal University (5RL067)the Key Laboratory of Mathematics and Complex System (Beijing Normal University), Ministry of Education, China
文摘In this article, we prove the boundedness of commutators generated by BochnerRiesz operators below the critical index and BMO functions on the class of radial functions in Lp（Rn） with ｜1/p-1/2｜〈（1＋2α）/（2n）.
