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Area and coarea formulas for the mappings of Sobolev classes with values in a metric space |
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| Authors: | M B Karmanova |
| Institution: | (1) Novosibirsk State University, Novosibirsk, Russia |
| Abstract: | We prove the metric differentiability and approximate metric differentiability for some broad classes of mappings with values in a metric space, including Sobolev classes. By way of application, we derive some metric analogs of area and coarea formulas. |
| Keywords: | metric space metric differentiability mapping of the Sobolev class area formula coarea formula |
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