2b-anisotropic Hörmander spaces in cylindrical domains
DOI:
https://doi.org/10.15407/dopovidi2018.06.003Keywords:
2b-anisotropic Hörmander space, cylindrical domain, interpolation with a function parameterAbstract
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.
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