Riemann and Dirichlet Type Problems for Hyperanalytic Functions in Fractal Domains

Juan Bory Reyes; Ricardo Abreu Blaya; Martín P.Árciga Alejandre; Yudier Peña Pérez

doi:10.1007/s11785-018-0782-9

Riemann and Dirichlet Type Problems for Hyperanalytic Functions in Fractal Domains

Juan Bory Reyes, Ricardo Abreu Blaya, Martín P.Árciga Alejandre, Yudier Peña Pérez

Escuela Superior de Ingeniería Mecánica y Eléctrica (ESIME), Unidad Zacatenco

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

Abstract

In this paper we are interested in finding solvability conditions for Riemann and Dirichlet type boundary value problems with generalized Hölder-continuous boundary data in the case of hyperanalytic functions defined in a domain of the complex plane bounded by an h-summable closed curve.

Original language	English
Pages (from-to)	1369-1382
Number of pages	14
Journal	Complex Analysis and Operator Theory
Volume	12
Issue number	5
DOIs	https://doi.org/10.1007/s11785-018-0782-9
State	Published - 1 Jun 2018

Keywords

Fractal dimensions
Hyperanalytic functions
Hölder functions
Whitney decomposition
h-summables curves

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abstract = "In this paper we are interested in finding solvability conditions for Riemann and Dirichlet type boundary value problems with generalized H{\"o}lder-continuous boundary data in the case of hyperanalytic functions defined in a domain of the complex plane bounded by an h-summable closed curve.",

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AU - Blaya, Ricardo Abreu

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AU - Pérez, Yudier Peña

PY - 2018/6/1

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KW - h-summables curves

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Riemann and Dirichlet Type Problems for Hyperanalytic Functions in Fractal Domains

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Keywords

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