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拟共形映射L^P-可积指数的上确界 被引量:1

The Supremum of L^p-integrability Exponent on Quasiconformal Mappings
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摘要 设f是R2中单位圆B2上的K-拟共形映射,该文证明了且1/2K是P的最佳上界估计. Let f be a K-quasiconformal mapping in the unit disk B^2 of R^2. In this paper, the authors prove sup 0〈R〈1∫0^2x|f(Re^iθ)|^pdθ 〈 +∞ for any 0 〈 p 〈 1/2K, and the supremum 1/2K of p is the best possible.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2007年第6期1021-1024,共4页 Acta Mathematica Scientia
基金 973计划基金(2006CB708304) 国家自然科学基金(10471039) 湖南省自然科学基金(06JJ50010) 浙江省教育厅科研计划重点基金(20060306) 湖州市自然科学资金(2006YZ12)资助
关键词 拟共形映射 HARDY空间 Hǒlder不等式. Quasiconformal mapping Hardy space HSlder inequality
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