| 共轭A-调和张量的双权Hardy-Littlewood不等式 |
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| 引用本文： | 包革军,李天祥,邢宇明.共轭A-调和张量的双权Hardy-Littlewood不等式[J].数学年刊A辑(中文版),2005(1). |
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| 作者姓名： | 包革军 李天祥 邢宇明 |
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| 作者单位： | 哈尔滨工业大学数学系，哈尔滨工业大学数学系，哈尔滨工业大学数学系 哈尔滨 150001，哈尔滨 150001，哈尔滨 150001 |
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| 摘 要： | 本文证明了共轭A-调和张量的局部双权积分不等式,此结果类似于共轭调和函数的古典Hardy-Littlewood不等式.作为局部结果的应用,还证明了John域上的共轭A-调和张量的全局双权积分不等式.
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| 关 键 词： | 张量 Hardy-Littlewood不等式 A-调和方程 John域 |
TWO-WEIGHTED HARDY-LITTLEWOOD INEQUALITY FOR A-HARMONIC TENSORS |
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| BAO Gejun LI Tianxiang XING Yuming.TWO-WEIGHTED HARDY-LITTLEWOOD INEQUALITY FOR A-HARMONIC TENSORS[J].Chinese Annals of Mathematics,2005(1). |
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| Authors: | BAO Gejun LI Tianxiang XING Yuming |
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| Institution: | BAO Gejun LI Tianxiang XING YumingDepartment of Mathematics,Harbin Institute of Technology,Harbin 150001,China.Department of Mathematics,Harbin Institute of Technology,Harbin 150001,China. |
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| Abstract: | This paper proves a local two-weighted integral inequality for conjugate A-harmonic tensors similar to the Hardy and Littlewood integral inequality for conjugate harmonic functions. Then by using the local two-weighted integral inequality, the authors prove a global two-weighted integral inequality for conjugate A-harmonic tensors in John domains. |
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| Keywords: | Tensor Hardy-littlewood inequality A-harmonic equation John domain |
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