Higher Order Sobolev-Type Spaces on the Real Line
Bojarski, B., Kinnunen, J., & Zürcher, T. (2014). Higher Order Sobolev-Type Spaces on the Real Line. Journal of Function Spaces, 2014, Article 261565. https://doi.org/10.1155/2014/261565
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Journal of Function SpacesDate
2014Copyright
© 2014 Bogdan Bojarski et al. This is an open access article distributed under the Creative Commons Attribution License.
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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Hindawi Publishing CorporationISSN Search the Publication Forum
0972-6802Keywords
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Except where otherwise noted, this item's license is described as © 2014 Bogdan Bojarski et al. This is an open access article distributed under the Creative Commons Attribution License.