BELTRAMI EQUATIONS REVISITED: MARCINKIEWICZ EXPONENTS AND PAINLEVE-TYPE THEOREM

被引：2

作者：

Katz, D. B. ^{[1
]}

机构：

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

来源：

PROBLEMY ANALIZA-ISSUES OF ANALYSIS | 2018年 / 7卷

关键词：

fractals; non-rectifiable curves; boundary value problem; Riemann boundary value problem;

D O I：

10.15393/j3.art.2018.5431

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with some new results on some types of Beltrami equations. There is a new approach involving the new metric characteristics: the Marcinkiewicz exponents. Another vision is applying the Cauchy-type integral representation to such equations. One more idea is to obtain analogs of some classical theorems for such equations.

引用

页码：39 / 48

页数：10

共 12 条

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[9]

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