【摘要】 利用α阶Carleson测度(α>0)的定义以及算子理论方面的有关知识研究Carleson测度,得到了关于一对Carleson测度的积分不等式定理以及α阶(α>0)Carleson测度μ在满足一定的条件下Carleson测度逆不等式定理,从而对引理1进行了推广,同时对Carleson逆不等式结合高阶导数方面作了探讨.更多还原

【Abstract】 Based on the definition of the Carleson measure with αorder (α>0) αnd related operator theory, a study is performed on the Carleson measure. An integral inequality theorem on double Carleson measure is obtained, and by expansion of the Lemma 1, an inverse inequality theorem is deduced to describe the Carleson measure μ with αorder (α>0) under a certain condition. Furthermore, a discussion is made on the combination of the Carleson inverse inequality with higherorder derivatives.更多还原