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arxiv: 1805.09230 · v2 · pith:POQYXI63new · submitted 2018-05-23 · 🧮 math.AP

Characterization of anisotropic high order Sobolev spaces

classification 🧮 math.AP
keywords anisotropichighorderformulasobolevspacesbourgain-brezis-characterization
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We establish two types of characterizations for high order anisotropic Sobolev spaces. In particular, we prove high order anisotropic versions of Bourgain-Brezis- Mironescu's formula and Nguyen's formula.

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