2b-anisotropic Hörmander spaces in cylindrical domains

Los, VM
Dopov. Nac. akad. nauk Ukr. 2018, 6:3-8
Section: Mathematics
Language: Ukrainian

We introduce a class of 2b-anisotropic inner product Hörmander spaces in a cylindrical domain. These spaces are obtained by the interpolation with a function parameter between anisotropic Sobolev spaces. A new condition for the continuity of distributions from the introduced spaces together with generalized partial derivatives up to some order is obtained.

Keywords: 2b-anisotropic Hörmander space, cylindrical domain, interpolation with a function parameter
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