Analytic Riemann boundary value problem on h-summable closed curves

被引：8

作者：

Abreu Blaya, Ricardo ^{[1
]}

Bory Reyes, Juan ^{[2
]}

Moreno Garcia, Tania ^{[1
]}

Pena Perez, Yudier ^{[1
]}

机构：

[1] Univ Holguin, Dept Matemat, Holguin 80100, Cuba

[2] Univ Oriente, Dept Matemat, Santiago De Cuba 90500, Cuba

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2014年 / 227卷

关键词：

Analytic functions; Riemann boundary value problem; Fractal dimensions;

D O I：

10.1016/j.amc.2013.11.053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim Of this work is to further extend the notion of d-summability due to Harrison and Norton in the beginning of the 1990s. Explicit examples are given to illustrate how our notion can be applied to describe the geometry of a simply connected bounded open subset of C in a more delicate manner than the latter one. Applications on the solvability conditions for the Riemann boundary value problems for analytic functions over closed curves merely required to be summable in the generalized sense are described. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：593 / 600

页数：8

共 20 条

[1] Integration over non-rectifiable curves and Riemann boundary value problems [J].