【摘要】 利用α阶Carleson测度的定义研究了两种Carleson测度的联系 ,得到了定理 1以及用Lpa 函数的积分不等式来刻画α阶Carleson测度的推论 .利用加权Bergman空间上Carleson测度的定义以及算子理论方面的有关定义、定理 ,用定理 2刻画了α阶Carleson测度与加权Bergman空间的Carleson测度之间的关系 .更多还原

【Abstract】 The relationship between two Carleson measures is studied by use of the definition of α -order Carleson measure. Theorem 1 is obtained, and a corollary is deduced: the α-order Carleson measure can be described by an integral inequality of L α p function. In addition, theorem 2 is used to describe the relationship between the α -order Carleson measure and the Carleson measure in weighted Bergman space based on the definition of Carleson measure in the Bergman space and some related definitions and principles of the operator theory.更多还原