PDF(438 KB)
PDF(438 KB)
PDF(438 KB)
Grunsky算子的本性模
Essential Norm of the Grunsky Operator
利用一个推广的Grunsky不等式，借助于单叶函数的拟共形延拓的边界伸缩商，我们给出Grunsky算子的本性模的一些估计.作为推论，我们推出Grunsky算子的紧性准则.
By using a generalized Grunsky inequality, we obtain some estimates of the essential norm of the Grunsky operator for a univalent function in terms of the boundary distortion of the quasiconformal extension. As a corollary, we deduce the compactness criterion of the Grunsky operator.
拟共形映射 / 单叶函数 / Grunsky算子 / 本性模 {{custom_keyword}} /
quasiconformal mapping / univalent function / Grunsky operator / essential norm {{custom_keyword}} /
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国家自然科学基金（11171080）；中央高校基本研究科研业务费专项资金（2682015CX057）；贵州师范大学博士启动基金（11904-05032130006）
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