Properties and approximation of functions in the class of functions


Abstract in English

We study in this paper one of functional analysis problems, involved with construction a new class of functions, denoted by . The definition of the new class depends on definition of Lebesgueclass of functions and on the Holder clas . We study the relation between the new class and approximation of the new class to rational functions.

References used

BÖTTCHER.A; KARLOVICH.A.Y. Carleson Curves, Muckenhoupt Weights, and ToeplitzOperators.Springer Basel AG, Washington D.C, 1997, 407
DAVID.G. Operateursintegrauxsingulerssurcertainescourbes 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 E (G,W) p and Bieberbach Polynomials. Vol 17,Constr.Approx. 2001, 335- 351

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