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Integral inequalities in anisotropic Sobolev spaces. (Russian) Zbl 1051.46017

Embedding theorems and integral inequalities are proven for the anisotropic Sobolev space \(L^l_p(\Omega)\), where \(\Omega\subset\mathbb R^n\) is an open subset with some functional-geometric properties, \(p\geq 1\), and \(l=(l_1,\dots,l_n)\) is a multiindex.

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
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