Abstract
The purpose of this paper is to provide a new characterization of the Sobolev space W1,1 (ℝn). We also show a new proof of the characterization of the Sobolev space W1,p(ℝn), 1 ≤ p < ∞, in terms of Poincaré inequalities.
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CITATION STYLE
APA
Hajłasz, P. (2003). A new characterization of the Sobolev space. Studia Mathematica, 159(2), 263–275. https://doi.org/10.4064/sm159-2-7
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