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s-Carleson测度与广义面积积分

s-Carleson Measure and Generalized Area Integral
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摘要 本文利用分数次积分算子的有界性研究了广义面积积分算子在广义Morrey空间上的有界性,并给出了s-Carleson测度若干新的等价刻画. By the bounedness of fractional integral operator,the boundedness of generalized area integral on generalized Morrey spaces is given.As a consequence some new equivalent characterizations of s-Carleson measure are obtained.
作者 樊云 FAN Yun(School of Science,Huzhou University,Huzhou,Zhejiang,313000,P.R.China)
出处 《数学进展》 CSCD 北大核心 2021年第3期409-417,共9页 Advances in Mathematics(China)
基金 浙江省自然科学基金(No.LQ21A010002)。
关键词 MORREY空间 s-Carleson测度 广义面积积分 分数次积分 Morrey spaces s-Carleson measure generalized area integral fractional integral
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