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Aigerim Kalybay

Assistant Professor
Department of Economics
KIMEP University
Kazakhstan

Aigerim Kalybay

Biography

After graduating from the L.N.GumilevEurasianNationalUniversity in Astana in 1998 I became an employee at the Institute of Mathematics of the Academy of Sciences. I worked at this Institute for six years. In 2004 I won a grant from the RoyalSwedishAcademy of Sciences for two years postgraduate study at Luleå University of Technology in Sweden. The result of this grant was the defense of my Ph.D. thesis entitled “A new development of Nikol’skii – Lizorkin and Hardy type inequalities with applications” in June 2006. In August 2006 I joined to KIMEP.

Research Interest

Function Spaces (embedding theorems, compactness of embeddings, Poincare type inequalities, etc.); Applications of Function Spaces to Differential Equations (boundary-value problems, a priori estimates, etc.); Weighted Inequalities with Applications (boundedness and compactness of Differential and Integral operators).

Publications

  • Kalybay A.A., “A Generalization of the Weighted Hardy Inequality for One Class of Integral Operators” // Siberian Mathematical Journal. Vol. 45, iss. 1. 2004. P. 100-112 (Kluwer Academic Publishers).

  • Kalybay A.A., “A Generalized Multiparameter Weighted Nikol’skii–Lizorkin Inequality” // Doklady Mathematics. Vol. 68. # 1. 2003. P. 121-128 (Translated from Doklady Akademii Nauk).

  • Kalybay A.A. and Oinarov R., “Some properties of spaces with multiweighted derivatives” // Progress in Analysis. World Scientific. Singapore. 2003. P. 1-13.

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