期刊文献+

Cauchy-Stieltjes积分乘子的半径增长(英文)

Radial Growth of Multipliers of Cauchy-Stieltjes Integrals
在线阅读 下载PDF
导出
摘要 讨论了Cauchy-Stieltjes积分乘子的半径增长性质,得到如果f(z)∈μα,β,且∫π0ω(x)/x(β-α)+1dx<+∞,则f(reiθ)有界(0≤r<1). This paper studies the radial growth of multipliers of Cauchy -Stieltjes Integrals ,obtain that if f(z) ∈ μα,β and 0 ω(x)/x(β-α)+1 dx 〈 + ∞ ,then f(reiθ) is bounded for 0≤ r 〈 1 .
作者 罗太元
出处 《怀化学院学报》 2014年第5期17-19,共3页 Journal of Huaihua University
关键词 半径增长 CAUCHY-STIELTJES积分 乘子 radial growth Cauchy-Stieltjes integrals multipliers
  • 相关文献

参考文献10

  • 1T H Macgregor. Analytic and univalent with integral representations involving complex measures [ J ]. Indiana Univ Math J, 1987, 36: 109-130.
  • 2P Bourdon, J A Cima. On integrals of Cauchy - Stieltjes type [J]. Houston JMath, 1988, 14: 465-474.
  • 3D J Hallenbeck, T H Macgregor. Radial limits and Radial growth of Cauchy- Stiehjes transforms [J]. Complex variables. 1993, 21: 219- 229.
  • 4R A Hibschweiler, T H Macgregor. Closure properties of families of Cauchy- Stiehjes transforms [ J]. Proc Amer Math Soc, 1989, 105 (3): 615-621.
  • 5D J Hallenbeck, K Samotij. On Cauchy integrals of logarithmic potentials and their multipliers [J]. J Math Anal Appl, 1993, 174:614 - 634.
  • 6D J Hallenbeck, T H Macgregor and K Samotij. Fractional Cauchy transforms, inner functions and multipliers [ J ]. Proc London Math Soc, 1996, 72 (3): 157-187.
  • 7D H Luo, T H Macgregor. Muhipliers of fractional Cauchy transforms and smoothness conditions [ J]. Can J Math, 1998, 50 (3): 595-604.
  • 8R A Hibschweiler, T H Macgregor. Multipliers of families of Cauchy- Stieltjes integrals transforms [ J]. Tran Amer Math Soc, 1992, 331: 377- 394.
  • 9R A Hibschweiler. Generalized multipliers of families of Cauchy transforms [J]. J Math Anal Appl, 1995, 193: 909-922.
  • 10D J Hallenbeck, K Samotij. On properties of multipliers of Cauchy transforms [J]. Rockey Mountain Math J, 1998, 28 (1): 223-235.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部