The Riemann boundary value problem for β-analytic functions over D-summable closed curves

Ricardo Abreu-Blaya; Juan Bory-Reyes; Jean Marie Vilaire

The Riemann boundary value problem for β-analytic functions over D-summable closed curves

Ricardo Abreu-Blaya, Juan Bory-Reyes, Jean Marie Vilaire

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this paper is to describe solvability conditions of the β-analytic Riemann boundary value problem in a Jordan domain of the complex plane whose boundary is assumed to be a d.summable closed curve.

Original language	English
Pages (from-to)	441-453
Number of pages	13
Journal	International Journal of Pure and Applied Mathematics
Volume	75
Issue number	4
State	Published - 2012
Externally published	Yes

Keywords

Fractal dimensions
Riemann boundary value problem
β-analytic functions

Cite this

@article{672541414e7f4ced8d6d28b731d1b1f6,

title = "The Riemann boundary value problem for β-analytic functions over D-summable closed curves",

abstract = "The aim of this paper is to describe solvability conditions of the β-analytic Riemann boundary value problem in a Jordan domain of the complex plane whose boundary is assumed to be a d.summable closed curve.",

keywords = "Fractal dimensions, Riemann boundary value problem, β-analytic functions",

author = "Ricardo Abreu-Blaya and Juan Bory-Reyes and Vilaire, {Jean Marie}",

year = "2012",

language = "Ingl{\'e}s",

volume = "75",

pages = "441--453",

journal = "International Journal of Pure and Applied Mathematics",

issn = "1311-8080",

number = "4",

}

TY - JOUR

T1 - The Riemann boundary value problem for β-analytic functions over D-summable closed curves

AU - Abreu-Blaya, Ricardo

AU - Bory-Reyes, Juan

AU - Vilaire, Jean Marie

PY - 2012

Y1 - 2012

N2 - The aim of this paper is to describe solvability conditions of the β-analytic Riemann boundary value problem in a Jordan domain of the complex plane whose boundary is assumed to be a d.summable closed curve.

AB - The aim of this paper is to describe solvability conditions of the β-analytic Riemann boundary value problem in a Jordan domain of the complex plane whose boundary is assumed to be a d.summable closed curve.

KW - Fractal dimensions

KW - Riemann boundary value problem

KW - β-analytic functions

UR - http://www.scopus.com/inward/record.url?scp=84859079975&partnerID=8YFLogxK

M3 - Artículo

SN - 1311-8080

VL - 75

SP - 441

EP - 453

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

IS - 4

ER -

The Riemann boundary value problem for β-analytic functions over D-summable closed curves

Abstract

Keywords

Other files and links

Fingerprint

Cite this