Geodesic
Integral estimates for differentiable functions on irregular domains
Sbornik. Mathematics, Tome 201 (2010) no. 12, pp. 1777-1790

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Integral representations for functions and their partial derivatives in terms of some fixed system of partial derivatives are constructed on irregular domains in a Euclidean space. Embedding theorems for Sobolev-type spaces into a Lebesgue space are established and the norms of the derivatives are estimated. Bibliography: 17 titles.
Keywords: integral representations of functions, embedding theorems.
Mots-clés : Sobolev spaces 
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     author = {O. V. Besov},
     title = {Integral estimates for differentiable functions on irregular domains},
     journal = {Sbornik. Mathematics},
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     volume = {201},
     number = {12},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2010_201_12_a2/}
}
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O. V. Besov. Integral estimates for differentiable functions on irregular domains. Sbornik. Mathematics, Tome 201 (2010) no. 12, pp. 1777-1790. http://geodesic.mathdoc.fr/item/SM_2010_201_12_a2/