Level sets and coarea formula of approximately differentialble
碩士 === 國立臺灣大學 === 數學系 === 84 === It is well-known that if $f$ is a Lipschitz function from $R^n$ into $R^m$, then almost all level sets are $(H^{n-m}, n-m)$- rect- ifiable, and the coarea formula holds for $f$. Two questions: Whether level...
| Main Authors: | , |
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| Other Authors: | |
| Format: | Others |
| Language: | zh-TW |
| Published: |
1996
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| Online Access: | http://ndltd.ncl.edu.tw/handle/95287481315023347151 |
| Summary: | 碩士 === 國立臺灣大學 === 數學系 === 84 === It is well-known that if $f$ is a Lipschitz function from $R^n$
into $R^m$, then almost all level sets are $(H^{n-m}, n-m)$-
rect- ifiable, and the coarea formula holds for $f$. Two
questions: Whether level sets of functions from other classes
have similar immediately present themselves "rectifiablity
property"? Whether the similiar coarea formula holds for
functions from other cla- sses? Therefore, this thesis will
deal with these questions.
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