Higher Order Sobolev-Type Spaces on the Real Line
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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Main Authors: | Bogdan Bojarski, Juha Kinnunen, Thomas Zürcher |
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Format: | Article |
Language: | English |
Published: |
Wiley
2014-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2014/261565 |
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