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Area operator on Bergman spaces
作者姓名:WU  Zhijian
作者单位:WU Zhijian Department of Mathematics,the University of Alabama,Tuscaloosa,AL 35487,USA
摘    要:We characterize the non-negative measuresμon the unit disk D for which the area operator Aμis bounded from Bergman space Aαp to Lq ((?)D).

收稿时间:12 January 2006
修稿时间:12 January 2006

Area operator on Bergman spaces
WU Zhijian.Area operator on Bergman spaces[J].Science in China(Mathematics),2006,49(7):987-1008.
Authors:WU Zhijian
Institution:Department of Mathematics, the University of Alabama, Tuscaloosa, AL 35487, USA
Abstract:We characterize the non-negative measures μ on the unit disk D for which the area operator A μ is bounded from Bergman space A p α to L q (δ D). Recommended for publication by Prof. Ge Liming, the Member of the Editorial Committee of Science in China.
Keywords:area operators  Bergman spaces  Carleson measures
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