复合算子T■H在加权L^p空间的有界性  

The Boundedness for the Composite Operator T■H in the Weighted L^p Space

作　　者：毕卉[1] 武志辉[1] 曹作宝[1] 

机构地区：[1]哈尔滨理工大学应用科学学院,黑龙江哈尔滨150080

出　　处：《哈尔滨理工大学学报》2013年第1期73-75,共3页Journal of Harbin University of Science and Technology

基　　金：黑龙江省教育厅科学技术研究项目(12511111)

摘　　要：证明了同伦算子与投影算子的复合算子T■H加Ar权的局部Lp范数不等式,进而利用修正的Whitney覆盖,将这一不等式发展到了全局,并对n<p<∞的情况证明了复合算子在加权Lp空间的有界性.The local inequality for the composition of the homotopy operator and the projection operator in terms of Lp-norms is firstly established. Then, under the condition of n 〈 p 〈 ∞ , the local result is further extended to the global case that implies the boundedness of the composite operator in the weighted Lp space.

关 键 词：同伦算子 投影算子 加权L^P空间 有界性 

分 类 号：O175.3[理学—数学]