Continuity andkth order differentiability in Orlicz-Sobolev spaces:W
kLA |
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| Authors: | Jack D Koronel |
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| Institution: | (1) Faculty of Mathematics, Technion-Israel Institute of Technology, Haifa, Israel |
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| Abstract: | The paper gives a necessary and sufficient condition for the embedding of the Orlicz-Sobolev spaceW
kLA (Ω) inC(Ω). The same condition is also found to be necessary and sufficient so that a continuous function inW
kLA (Ω) be differentiable of orderk almost everywhere in Ω. |
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| Keywords: | |
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