Volterra operator, area integral and Carleson measures 被引量：2

Volterra operator, area integral and Carleson measures

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摘要 We characterize the boundedness of Volterra operators from Bergman spaces to Hardy spaces. Area integral operators and Carleson measures are heavily involved. We characterize the boundedness of Volterra operators from Bergman spaces to Hardy spaces. Area integral operators and Carleson measures are heavily involved.

作者 WU ZhiJian

机构地区 Department of Mathematics

出处《Science China Mathematics》 SCIE 2011年第11期2487-2500,共14页 中国科学：数学（英文版）

基金 supported in part by the Houniao Program through the Guizhou University for Nationalities a CRDF grant of USA

关键词 Bergman and Hardy spaces Volterra operator area integral Carleson measures Carleson测度 Volterra 面积积分运营商 Bergman空间 Hardy空间有界

分类号 O174.5 [理学—基础数学] O175.6 [理学—基础数学]

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参考文献16

1Gong MinQing,Lou ZengJian,Wu ZhiJian.Area operators from H^p spaces to L^q spaces[J].Science China Mathematics,2010,53(2):357-366. 被引量：4
2WU Zhijian.Area operator on Bergman spaces[J].Science China Mathematics,2006,49(7):987-1008. 被引量：7
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二级参考文献25

1WU Zhijian.Area operator on Bergman spaces[J].Science China Mathematics,2006,49(7):987-1008. 被引量：7
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共引文献7

1Gong MinQing,Lou ZengJian,Wu ZhiJian.Area operators from H^p spaces to L^q spaces[J].Science China Mathematics,2010,53(2):357-366. 被引量：4
2龚敏庆,娄增建,吴志坚.H^p空间到L^q空间上的区域积分算子[J].中国科学（A辑）,2010,40(1):11-20. 被引量：1
3张慧,胡瑞芳.L^p(R^n)上的广义面积积分的推广[J].嘉兴学院学报,2012,24(6):5-8.
4Ruifang HU Bolin MA Xianmin XU.Generalized area operators on L^p（R^n）[J].Frontiers of Mathematics in China,2014,9(5):1051-1072. 被引量：2
5李志强,马柏林.L^(p)(R^(n))上关于热核的广义面积积分算子研究[J].嘉兴学院学报,2022,34(6):5-11.
6Xiao Fen LV,Jordi PAU,Mao Fa WANG.Area Operators on Bergman Spaces[J].Acta Mathematica Sinica,English Series,2024,40(5):1161-1176.
7王东方,马柏林,沈丹桂.实单位球上的面积积分算子[J].理论数学,2013,3(1):56-67.

同被引文献2

1WU Zhijian.Area operator on Bergman spaces[J].Science China Mathematics,2006,49(7):987-1008. 被引量：7
2Gong MinQing,Lou ZengJian,Wu ZhiJian.Area operators from H^p spaces to L^q spaces[J].Science China Mathematics,2010,53(2):357-366. 被引量：4

引证文献2

1胡蓉.Hardy空间上的Volterra型积分算子[J].贵州大学学报（自然科学版）,2022,39(3):22-26. 被引量：2
2Xiao Fen LV,Jordi PAU,Mao Fa WANG.Area Operators on Bergman Spaces[J].Acta Mathematica Sinica,English Series,2024,40(5):1161-1176.

二级引证文献2

1许姗姗,唐树安.拟共形映射下不同指数Hardy空间的复合算子[J].贵州师范大学学报（自然科学版）,2022,40(5):87-90. 被引量：1
2胡蓉.Hardy型Tent空间上乘积算子的有界性[J].安徽大学学报（自然科学版）,2024,48(2):1-7.

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2011年第11期

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