L-p -Versions of One Conformally Invariant Inequality

被引：4

作者：

Avkhadiev, F. G. ^{[1
]}

Nasibullin, R. G. ^{[1
]}

Shafigullin, I. K. ^{[1
]}

机构：

[1] Kazan Fed Univ, Ul Kremlyovskaya 18, Kazan 420008, Russia

来源：

RUSSIAN MATHEMATICS | 2018年 / 62卷 / 08期

基金：

俄罗斯科学基金会;

关键词：

Poincare metric; isoperimetric inequality; uniformly perfect set; Hardy type in-equality;

D O I：

10.3103/S1066369X1808011X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain L-p-versions of theorems proved by J. L. Fernandez and J. M. Rodriguez in the paper "The Exponent of Convergence of Riemann Surfaces, Bass Riemann Surfaces", Ann. Acad. Sci. Fenn. Ser.A. I. Mathematica 15, 165-182 (1990). An important role in the proof of our results is due to the approach of V. M. Miklyukov and M. K. Vuorinen. In particular, we use the isoperimetric profile of hyperbolic domains.

引用

页码：76 / 79

页数：4

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