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Construction of function with gradient violating Lusin (N) condition |
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| Authors: | Tomá? Roskovec |
| Affiliation: | Department of Mathematical Analysis, Charles University, Czech Republic |
| Abstract: | We construct  , such that  maps  onto  . This shows that a mapping which maps a set of zero measure onto the set of positive measure can be a gradient mapping. |
| Keywords: | Sobolev space Lusin condition Peano curve 46E35 |
