让 X 是有有限措施的同类的类型的一个空格。让 T 是在 L^p (X) 上被围住的一个单个不可分的操作员， 1 【
p 【
∞。我们在核 k 上给一个足够的条件( x ， y ) T 以便什么时候功能 b ∈ BMO (X)，整流器[ b ， T ](f)= T ( bf )- bT...让 X 是有有限措施的同类的类型的一个空格。让 T 是在 L^p (X) 上被围住的一个单个不可分的操作员， 1 【
p 【
∞。我们在核 k 上给一个足够的条件( x ， y ) T 以便什么时候功能 b ∈ BMO (X)，整流器[ b ， T ](f)= T ( bf )- bT (f)为所有 p 在空格 L^p 上被围住， 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）.
In this paper, we establish a sharp function estimate for the multilinear integral operators associated to the pseudo-differential operators. As the application, we obtain the L<sup>p</sup> (1 p norm ...In this paper, we establish a sharp function estimate for the multilinear integral operators associated to the pseudo-differential operators. As the application, we obtain the L<sup>p</sup> (1 p norm inequalities for the multilinear operators.展开更多
基金Supported by the National Natural Science Foundation of China
文摘让 X 是有有限措施的同类的类型的一个空格。让 T 是在 L^p (X) 上被围住的一个单个不可分的操作员， 1 【
p 【
∞。我们在核 k 上给一个足够的条件( x ， y ) T 以便什么时候功能 b ∈ BMO (X)，整流器[ b ， T ](f)= T ( bf )- bT (f)为所有 p 在空格 L^p 上被围住， 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）.
文摘In this paper, we establish a sharp function estimate for the multilinear integral operators associated to the pseudo-differential operators. As the application, we obtain the L<sup>p</sup> (1 p norm inequalities for the multilinear operators.
