The area formula for -mappings
Commentationes Mathematicae Universitatis Carolinae (1994)
- Volume: 35, Issue: 2, page 291-298
- ISSN: 0010-2628
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topMalý, Jan. "The area formula for $W^{1,n}$-mappings." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 291-298. <http://eudml.org/doc/247641>.
@article{Malý1994,
abstract = {Let $f$ be a mapping in the Sobolev space $W^\{1,n\}(\Omega ,\mathbf \{R\}^n)$. Then the change of variables, or area formula holds for $f$ provided removing from counting into the multiplicity function the set where $f$ is not approximately Hölder continuous. This exceptional set has Hausdorff dimension zero.},
author = {Malý, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Sobolev spaces; change of variables; area formula; Hölder continuity; area formula; change of variables formula; Lusin property (N); -mapping; Gehring oscillation lemma; -Dirichlet integral},
language = {eng},
number = {2},
pages = {291-298},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {The area formula for $W^\{1,n\}$-mappings},
url = {http://eudml.org/doc/247641},
volume = {35},
year = {1994},
}
TY - JOUR
AU - Malý, Jan
TI - The area formula for $W^{1,n}$-mappings
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 291
EP - 298
AB - Let $f$ be a mapping in the Sobolev space $W^{1,n}(\Omega ,\mathbf {R}^n)$. Then the change of variables, or area formula holds for $f$ provided removing from counting into the multiplicity function the set where $f$ is not approximately Hölder continuous. This exceptional set has Hausdorff dimension zero.
LA - eng
KW - Sobolev spaces; change of variables; area formula; Hölder continuity; area formula; change of variables formula; Lusin property (N); -mapping; Gehring oscillation lemma; -Dirichlet integral
UR - http://eudml.org/doc/247641
ER -
References
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