Journal of applied mathematics & informatics

  • 제5권2호
  • /
  • Pages.525-537
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  • 1998
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  • 2734-1194(pISSN)
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  • 2234-8417(eISSN)
한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
권호 표지

AN INEQUALITY OF SUBHARMONIC FUNCTIONS

  • Kim, Young-Ho (Dept. of Mathematics, Changwon National University)
  • 발행 : 1998.06.01

⟨ 이전 논문 다음 논문 ⟩

초록

In this paper we prove the inequality of subharmonic functions between a non-negative subharmonic function u and a smooth function $\upsilon$satisfying ｜$\upsilon(0)$\mid$\leq u(0), $\mid$\nabla \upsilon $\mid$ \leq$\mid$\nabla u $\mid$\leq c\Delta u $, where 0$\leq$c$\leq$1 is a constant. Here $\mu$is the harmonic measure on $\partial$D with respect to 0.

키워드

참고문헌

  1. Lecture Notes in Mathematics v.1384 Differential subordination of harmonic functions and martingales D.L.Burkholder
  2. Colloque Paul Levy sur les processus stochastiques Asterisque v.157;158 Sharp inequality for martingales and stochastic integrals D.L.Burkholder
  3. Ann. Probab. v.22 Strong differential subordination and stochastic integration D.L.Burkholder
  4. Proceeding of A.M.S v.124 A submartingale inequality C.S.Choi
  5. Proceedings of A.M.S. A weak-type inequality of subharmonic functions C.S.Choi
  6. Classical and New Inequalities in Analysis D.S.Mitrinovic