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单位球上的全纯函数及其导数的加权积分 被引量：1

Weighted Integrals of Holomorphic Function and Its Derivative in the Unit Ball
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摘要 首先给出全纯函数在单位球面上的积分平均的定义,然后利用全纯函数积分平均与其梯度积分平均之间的相互控制关系,得到全纯函数在普通权下的加权积分与其导数的加权积分两者之间的等价关系。 This paper first gives the definition of the integral means, then by using the relations between the integral means of holomorphic function and the integral means of its gradient, it gets the equivalence for weighted integrals under normal weight function of holomorphic function and its derivative in the unit ball.
作者 胡蓉
机构地区 四川文理学院数学与财经系
出处 《成都师范学院学报》 2013年第3期119-122,共4页 Journal of Chengdu Normal University
关键词 单位球 全纯函数 导数 加权积分 the unit bail holomorphic function derivative weighted integrals
分类号 O174 [理学—基础数学]
  • 相关文献

参考文献8

  • 1T.M.Flett. The dual of an inequality of Hardy and Littlewood and some related inequalities[J].Journal of Mathematical Analysis and Applications,1972.746-765.
  • 2A.Siskakis. Weighted integrals of analytic functions[J].Acta Sci Math,2000,(3-4):651-664.
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  • 6M.Pavlovi,José Angel Peláez. An equivalence for weighted integrals of an analytic function and its derivative[J].MATHEMATISCHE NACHRICHTEN,2007,(11):1612-1623.
  • 7胡蓉.单位球面上的全纯函数及其梯度[J].四川文理学院学报,2011,21(5):12-14. 被引量：2
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二级参考文献10

  • 1T. M. IOelt. The dual of an inequality of Hardy and Littlewood and some related inequalities[ J]. J. Math. Anal. Appl. , 1972, 38 : 746 - 765.
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共引文献1

同被引文献7

  • 1Zhu K K. Spaces of Holomorphic Functions in the Unit Ball[ M ]. New York: Springer- Verlag, 2004:122 - 140.
  • 2M. Pavlovie and Jose Angel Pelaez. An equivalence for weighted integrals of an analytic function and its derivative [ J ]. Math. Nachr. , 2008, 281(11) : 1612 -1623.
  • 3Siskakis A.. Weighted integrals of analytic functions [ J ]. Acta Sci. Math. , 2000, 66 ( 3 - 4 ) : 651 - 664.
  • 4Stevie S.. A note on weighted integrals of analytic functions [ J ]. Bull. Greek Math. Soc. , 2002, 46 : 3 - 9.
  • 5Stevie S.. Weighted integrals and conjugate functions in the unit disk[ J ]. Acta Sci. Math. ,2003, 69 (1 -2) : 109 -119.
  • 6Stevie S.. Weighted integrals of holomorphic functions on the polydisc [ J ]. Z. Anal. Anwendungen ,2004, 23 (3) : 577 -587.
  • 7胡蓉.单位球面上的全纯函数及其梯度[J].四川文理学院学报,2011,21(5):12-14. 被引量：2

引证文献1

成都师范学院学报
2013年 第3期

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