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Higher order Sobolev-type spaces on the real line - MaRDI portal

Higher order Sobolev-type spaces on the real line (Q2256669)

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Higher order Sobolev-type spaces on the real line
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    Higher order Sobolev-type spaces on the real line (English)
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    20 February 2015
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    Summary: This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.
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    Sobolev function
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    finite difference
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