## 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:

 4.6e+36 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

### Keywords:

capacity; homogeneous metric
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