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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 248576, 4 pages
http://dx.doi.org/10.1155/2014/248576
Research Article

Lower Estimates for Certain Harmonic Functions in the Half Space

1College of Computer and Information Engineering, Henan University of Economics and Law, Zhengzhou 450000, China
2College of Mathematics and Information Science, Henan University of Economics and Law, Zhengzhou 450000, China

Received 2 December 2013; Accepted 3 January 2014; Published 23 February 2014

Academic Editor: Cristina Marcelli

Copyright © 2014 Gang Xu and Xiaoyu Zhou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. B. Ya. Levin, Lectures on Entire Functions, vol. 150, American Mathematical Society, Providence, RI, USA, 1996. View at MathSciNet
  2. N. K. Nikol'skiĭ, Selected Problems of Weighted Approximation and Spectral Analysis, vol. 120 of English Translation Proceedings of the Steklov Institute of Mathematics 1974, American Mathematical Society, Providence, RI, USA, 1976. View at MathSciNet
  3. B. Su, “Dirichlet problem for the Schrödinger operator in a half space,” Abstract and Applied Analysis, vol. 2012, Article ID 578197, 14 pages, 2012. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  4. B. Y. Su, “Growth properties of harmonic functions in the upper half-space,” Acta Mathematica Sinica, vol. 55, no. 6, pp. 1095–1100, 2012 (Chinese). View at Zentralblatt MATH · View at MathSciNet
  5. I. F. Krasichkov-Ternovskiĭ, “Estimates for the subharmonic difference of sub-harmonic functions. II,” Mathematics of the USSR-Sbornik, vol. 32, no. 1, pp. 32–59, 1977.
  6. T. Carleman, “Über die approximation analytischer funktionen durch lineare aggregate von vorgegebenen potenzen,” Arkiv för Matematik, Astronomi Och Fysik, vol. 17, pp. 1–30, 1923.
  7. B. Levin, Distribution of Zeros of Entire Functions, vol. 5 of Translations of Mathematical Monographs, American Mathematical Society, Providence, RI, USA, Revised edition, 1980. View at MathSciNet
  8. Y. D. Ren, “Solving integral representations problems for the stationary Schrödinger Equation,” Abstract and Applied Analysis, vol. 2013, Article ID 715252, 5 pages, 2013. View at Publisher · View at Google Scholar