【摘要】 调ω为Ω中的调和测度，μ为Ω上的正则Ｂｏｒｅｌ测度。本文中，我们在区域Ω为非切向可接近的条件下证明了加权Ｃａｒｌｅｍａｎ不等式∫Ωｆ（ｚ）αｄμ≤∫Ωｆ（ｘ）ｄω（ｘ）α对任一个ｌｏｇｆ（ｘ）下调和的函数ｆ成立当且仅当μ（Ｂ（ａ，ｒ）∩Ω）≤Ｃ（ω（Ｂ（ａ，ｒ）∩Ω））α，α∈Ω，ｒ＞０．我们的结论表明这一问题与推广了的Ｃａｒｌｅｓｏｎ测度有内在的联系。更多还原

【Abstract】 In this paper, we consider weighted Carleman’s ineqaulity in a very general class of domains. Our results show that this problem has an intrinsic relationshop with extended Carleson Measure.更多还原