Integral Characterization of the Hasjlasz-Sobolev Spaces on Metric Measure Spaces

来源 :The Fourth International Conference on Nonlinear Evolutionar | 被引量 : 0次 | 上传用户:jovkin
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This work is motivated by a paper of Bourgain,Brezis and Mironescu.In this paper,the authors give a new insight onclassical Sobolev spaces.They establish new compactness results for Sobolev spaces.They prove as well that the Sobolev(semi-)norm on W1,p is a scaled limit of the Ws,p(semi-)normwhen s go to 1.
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