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Journal of Function Spaces and ApplicationsVolume 2012 2012, Article ID 734194, 30 pages

Research Article

Institute of Mathematics, Academy of Sciences of Czech Republic, Zitna 25, 115 67 Prague 1, Czech Republic

Institute of Mathematics and Mechanics, Academy of Sciences of Azerbaijan, F. Agayev Street 9, 1141 Baku, Azerbaijan

Department of Mathematics, Faculty of Science and Arts, Kirikkale University, Yahsihan, 71450 Kirikkale, Turkey

Department of Mathematics, Luleå University of Technology, 971 87 Luleå, Sweden

Narvik University College, P.O. Box 385, 8505 Narvik, Norway

Received 18 May 2012; Accepted 11 October 2012

Academic Editor: Alois Kufner

Copyright © 2012 A. Gogatishvili et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We characterize the validity of the Hardy-type inequality , where , , , , , and are weight functions on . Some fairly new discretizing and antidiscretizing techniques of independent interest are used.

Author: A. Gogatishvili, R. CH. Mustafayev, and L.-E. Persson



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