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关于全纯函数积分平均的一些推论

Corollaries about Integral Means of Holomorphic Function
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摘要 全纯函数及其导数的加权积分受到学者们的广泛研究,本文对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做进一步地研究,得到几个更具一般性和实用性的推论. The weighted integrals about holomorphic function and its derivative have been researched widely. In this paper, the author conducts the further study to the conclusion about the equivalence for weighted integrals of holomorphic function and its derivative in the unit ball, then gets several corollaries which are more general and practical.
作者 胡蓉 郭春丽
出处 《绵阳师范学院学报》 2014年第5期6-9,共4页 Journal of Mianyang Teachers' College
基金 四川省教育厅项目(13ZB0101)
关键词 单位球 全纯函数 积分平均 加权积分 unit ball holomorphic function integral means weighted integrals
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参考文献8

  • 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.单位球上的全纯函数及其导数的加权积分[J].成都师范学院学报,2013,29(3):119-122. 被引量:1
  • 8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

二级参考文献18

  • 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.
  • 2A. Siskakis. Weighted integrals of analytic functions[J]. Acta Sci. Math., 2000, 66(3 -4) : 651 -664.
  • 3S. Stevic.A note on weighted integrals of analytic functions[J]. Bull. Greek Math. Soc., 2002, 46:3 -9.
  • 4S. Stevic. Weighted integrals and conjugate functions in the unit disk[J]. Acta Sci. Math. , 2003, 69( 1 -2) : 109 -119.
  • 5S. Stevic. Weighted integrals of holomorphic functions on the polydisc[J]. Z. Anal. Anwendungen, 2004, 23(3) : 577 -587.
  • 6Shi Jihuai. Inequalities for the integral means of holomorphic function and their derivatives in the unit ball [ J ]. Trans. Amer. Math. Soc. , 1991,328(2) : 619 -637.
  • 7Shi Jihuai. On the rate of growth of the means Mp of holomorphic and pluriharmonic functions on bounded syrmnetric domains of [J]. J. Math. Anal. Appl., 1987, 126(1): 151-175.
  • 8K. Zhu. Spaces of Holomorphic Functions in the Unit Ball[ M]. Springer- Verlag, New York, 2004.
  • 9W. Rudin. Function Theory in the Unit Ball of C[ M]. Springer- Verlag, Berlin and New York, 1980.
  • 10IS. Boclmer. Classes ofholomorphicfunctions of several variables in circulardomains[J]. Proc. Nat. Acad. Sci. U.S.A., 1960, 46:721 -723.

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