On a Class of Weighted Sobolev's Spaces
P. Bolley, J. Camus, The Lai Pham (1978)
Publications mathématiques et informatique de Rennes
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P. Bolley, J. Camus, The Lai Pham (1978)
Publications mathématiques et informatique de Rennes
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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J. Kisyński (1970)
Colloquium Mathematicae
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Wojciech M. Zajączkowski (2002)
Applicationes Mathematicae
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Using the Il'in integral representation of functions, imbedding theorems for weighted anisotropic Sobolev spaces in 𝔼ⁿ are proved. By the weight we assume a power function of the distance from an (n-2)-dimensional subspace passing through the domain considered.
Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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Jan Dymara, Damian Osajda (2007)
Fundamenta Mathematicae
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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.
Antonio Avantaggiati, Paola Loreti (2009)
Bollettino dell'Unione Matematica Italiana
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In this paper we obtain a more general inequality with respect to a well known inequality due to Gagliardo (see [4], [5]). The inequality contained in [4], [5] has been extended to weighted spaces, obtained as cartesian product of measurable spaces. As application, we obtain a first order weighted Sobolev inequality. This generalize a previous result obtained in [2].
Reissig, Michael (1997)
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Carvalho e Silva, Jaime (1988)
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Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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R. Krasnodębski (1970)
Colloquium Mathematicae
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Mahavier, W.T. (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Michael Dreher (2003)
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Petr Gurka, Alois Kufner (1989)
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Jiří Rákosník (1989)
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Douglas Dunham (1999)
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W. Mlak (1962)
Annales Polonici Mathematici
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