EQUIVALENCES BETWEEN BLOCH TYPE SPACES AND BMO SPACES ON THE HYPERBOLIC DOmAINS IN C

• 出 处: 分析理论与应用：英文刊
• 发表日期: 1993年4期
• 关键词: HYPERBOLIC analytic RIEMANN BLOCH conclusions proof NIRENBERG consequently MONOT
• 基金项目: This research was supported by the Doctoral Program Foundation of Institute of Higher Education.

For an analytic function f on the hyperbolic domain Ω in C,the following conclusions are obtained:(i)f∈B(Ω)=BMOA(Ω,m)if and only if Ref∈B(?)(Ω)=BMOH(Ω,m).(ii)QB_h(Ω)=B_h(Ω)(BMOH,(Ω,m)=BMOH(Ω,m)if and only if C(Ω)=inf{Z_o(z)·δ_o(z)·z≡Ω}】0,Also so