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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2012, Volume 154, Book 3, Pages 173–179 (Mi uzku1148)  
Hardy Inequality with a Singular Weight inside a Domain

M. R. Timerbaev, N. V. Timerbaeva

Kazan (Volga Region) Federal University
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Abstract: We consider Sobolev spaces with singular weights at some internal points of a 2D-domain. For the functions of these spaces, Hardy inequality is proved. Embedding theorems for weighted Sobolev spaces and theorems on equivalent renorming are obtained.
Keywords: Hardy inequality, weighted Sobolev spaces, embedding theorems, equivalent renorming theorems.
Received: 07.05.2012
Document Type: Article
UDC: 517.518.235
Language: Russian
Citation: M. R. Timerbaev, N. V. Timerbaeva, “Hardy Inequality with a Singular Weight inside a Domain”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 154, no. 3, Kazan University, Kazan, 2012, 173–179
Citation in format AMSBIB
\Bibitem{TimTim12}
\by M.~R.~Timerbaev, N.~V.~Timerbaeva
\paper Hardy Inequality with a~Singular Weight inside a~Domain
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2012
\vol 154
\issue 3
\pages 173--179
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1148}
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