Another note on the embedding of the Sobolev space for the limiting exponent
2017
The embedding of the Sobolev spaces W p s (ℝ n ) in a Lizorkin-type space of locally summable functions of zero smoothness is established. This result is extended to the case of the embedding of Sobolev spaces on nonregular domains of n-dimensional Euclidean space. The formulation of the theorem depends on the geometric parameters of the domain of the functions.
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