Approximation of Complex Functions from Weighted Lebesgue space on Carlson Curves
published by Tishreen University
in 2015
in Mathematics
and research's language is
العربية
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Abstract in English
In this research, we have studied the issue of approximation of complex functions from weighted Lebesgue space ; and (Mukenhoupt weight) to rational functions by using p- Faber polynomials on large group of curves, which called Carlson curves. This is also considered as a follow-up to the work done by researchers: Israfilov and Testici in 2014 , where they studied approximation of functions from weighted Smirnov space on domains with a Carlson curve boundary.
References used
BÖTTCHER.A; KARLOVICH.A.Y. Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators. Springer Basel AG, Washington D.C, 1997, 407
DAVID.G. Operateurs integraux singulers sur certaines courbes du plan complexe. Vol 17 (4), Ann. Sci. Ecole Norm. Sup, 1984, 157-189
ISRAFILOV. D.M. Approximation by p-faber polynomials in the weighted smirnov class , P E G W and Bieberbach Polynomials. Vol 17, Constr. Approx. 2001, 335- 351