Pointwise bounded approximation and Dirichlet algebras
Pointwise bounded approximation and Dirichlet algebras
复制标题
逐点有界逼近和狄利克雷代数
DOI：
10.1016/0022-1236(71)90002-4
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发表时间：
1971
影响因子：
1.7
通讯作者：
J. Garnett
中科院分区：
文献类型：
--
作者：
T. Gamelin;J. Garnett
用解析能力刻画了在∞(U)中HA(U)逐点有界稠密的开集UofS2。证明了函数Ina(U)的实部是一致稠密的Incr(∂U)当且仅当Ui的每个分量都是单连通的，且Inda(U)是逐点有界稠密的Inh∞(U).
Those open setsUofS2for whichA(U) is pointwise boundedly dense inH∞(U) are characterized in terms of analytic capacity. It is also shown that the real parts of the functions inA(U) are uniformly dense inCR(∂U) if and only if each component ofUis simply connected andA(U) is pointwise boundedly dense inH∞(U).