IJPAM: Volume 75, No. 4 (2012)
THE RIEMANN BOUNDARY VALUE PROBLEM FOR
-ANALYTIC FUNCTIONS OVER
-SUMMABLE
CLOSED CURVES


CLOSED CURVES
Ricardo Abreu-Blaya
, Juan Bory-Reyes
, Jean-Marie Vilaire
Facultad de Informática y Matemática
Universidad de Holguın
Holguın 80100, CUBA
Departamento de Matemática
Universidad de Oriente
Santiago de Cuba, 90500, CUBA
Departamento de Matemáticas
Universidad Carlos III de Madrid
Leganés 28911, Madrid, SPAIN




Universidad de Holguın
Holguın 80100, CUBA

Universidad de Oriente
Santiago de Cuba, 90500, CUBA

Universidad Carlos III de Madrid
Leganés 28911, Madrid, SPAIN
Abstract. The aim of this paper is to describe solvability conditions of the -analytic Riemann boundary value problem in a Jordan domain of the complex plane whose boundary is assumed to be a summable closed curve.
Received: October 14, 2011
AMS Subject Classification: 30G35
Key Words and Phrases: -analytic functions, Riemann boundary value problem, fractal dimensions
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 75
Issue: 4