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1.
Boundedness of commutators on Hardy type spaces   总被引:18,自引:0,他引:18  
Let [b, T] be the commutator of the function b ∈ Lipβ(Rn) (0 <β≤ 1) and the CalderónZygmund singular integral operator T. The authors study the boundedness properties of [b, T] on the classical Hardy spaces and the Herz-type Hardy spaces in non-extreme cases. For the boundedness of these commutators in extreme cases, some characterizations are also given. Moreover, the authors prove that these commutators are bounded from Hardy type spaces to the weak Lebesgue or Herz spaces in extreme cases.  相似文献
2.
Estimation of spectral gap for elliptic operators   总被引:15,自引:0,他引:15  
A variational formula for the lower bound of the spectral gap of an elliptic operator is presented in the paper for the first time. The main known results are either recovered or improved. A large number of new examples with sharp estimate are illustrated. Moreover, as an application of the march coupling, the Poincaré inequality with respect to the absolute distribution of the process is also studied.

  相似文献

3.
Marcinkiewicz integral on hardy spaces   总被引:14,自引:0,他引:14  
In this paper we prove that the Marcinkiewicz integral is an operator of type (H 1,L 1) and of type (H 1,,L 1,). As a corollary of the results above, we obtain again the the weak type (1,1) boundedness of , but the smoothness condition assumed on is weaker than Stein's condition.The research was supported partly by Doctoral Programme Foundation of Institution of Higher Education (Grant No. 98002703) of China.The author was supported partly by NSF of China (Grant No. 19971010).The author was supported partly by NSF of China (Grant No. 19131080).  相似文献
4.
Weighted weak type estimates for commutators of the Marcinkiewicz integrals   总被引:13,自引:0,他引:13  
In this paper the authors give the weighted weak L logL type estimates for a class of the higher order commutator generated by the Marcinkiewicz integral and a BMO function. In addition, the weak type norm inequalities for the Marcinkiewicz integral and its commutators with different weight functions are also discussed.  相似文献
5.
Continuity of Higher Order Commutators on Certain Hardy Spaces   总被引:12,自引:0,他引:12  
In this paper, the autors study the continuity properties of higher order commutators generated by the homogeneous fractional integral and BMO functions on certain Hardy spaces, weak Hardy spaces and Herz-type Hardy spaces. Received October 13, 2000, Accepted November 29, 2001  相似文献
6.
非交换凝聚环上的FP-自内射维数   总被引:12,自引:2,他引:10       下载免费PDF全文
黄兆泳 《数学学报》1997,40(2):167-174
本文引进了W~(n)-模,对具有有限FP-自内射维数的非交换凝聚环作了刻划.所得结果推广了Stentr(?)m和Bass等人的工作.最后给出了这些结果在扩张闭模范畴中的应用.  相似文献
7.
Higher order commutators for a class of rough operators   总被引:12,自引:0,他引:12  
In this paper we study the (L p (u p ),L q (v q )) boundedness of the higher order commutatorsT Ω,α,b m andM Ω,α,b m formed by the fractional integral operatorT Ω,α , the fractional maximal operatorM Ω,α , and a functionb(x) in BMO(v), respectively. Our results imporve and extend the corresponding results obtained by Segovia and Torrea in 1993 [9]. The project was supported by NNSF of China.  相似文献
8.
关于具有泛分解的态射的广义逆   总被引:12,自引:1,他引:11       下载免费PDF全文
曹永知  朱萍 《数学学报》2001,44(3):559-566
本文给出了预加范畴中具有泛分解的态射的(1,…,i)-逆存在的条件及其表达式.特别地,得到了这类态射的Moore-Penrose边和群逆存在的一些新的充要条件和新的表达式.  相似文献
9.
卷积算子的交换子   总被引:10,自引:0,他引:10       下载免费PDF全文
利用Fourier变换估计和对算子的局部性质做精细的分析,建立与一类卷积算子交换子相关的一些算子的LP有界性结果.作为这些结果的应用,得到了与球平均算子交换子相关的离散极大算子以及一类低维集上奇异积分算子交换子等的LP有界性.  相似文献
10.
Explicit bounds of the first eigenvalue   总被引:9,自引:0,他引:9  
It is proved that the general formulas, obtained recently for the lower bound of the first eigenvalue, can be further bounded by one or two constants depending on the coefficients of the corresponding operators only. Moreover, the ratio of the upper and lower bounds is no more than four.  相似文献
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