解析加权Lipschitz代数的闭理想
Closed ideals in analytic weighted Lipschitz algebras
摘要:
我们得到了单位圆盘上解析函数的加权Lipschitz代数$Λ_ω$中闭理想的完整描述,其中$Λ_ω$满足以下条件,其中$ω$是满足某些正则性条件的连续模。
英文摘要:
We obtain a complete description of closed ideals in weighted Lipschitz algebras $Λ_ω$ of analytic functions on the unit disk satisfying the following condition $$\frac{|f(z)-f(w)|}{ω(|z-w|)}=o(1)\qquad(as |z-w| \longrightarrow 0),$$ where $ω$ is a modulus of continuity satisfying some regularity conditions.
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