Lebesgue measure and mappings of the Sobolev class W 1 , n

O. Martio

Banach Center Publications (1995)

  • Volume: 31, Issue: 1, page 255-262
  • ISSN: 0137-6934

Abstract

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We present a survey of the Lusin condition (N) for W 1 , n -Sobolev mappings f : G → ℝ n defined in a domain G of ℝ n . Applications to the boundary behavior of conformal mappings are discussed.

How to cite

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Martio, O.. "Lebesgue measure and mappings of the Sobolev class $W^{1,n}$." Banach Center Publications 31.1 (1995): 255-262. <http://eudml.org/doc/262873>.

@article{Martio1995,
abstract = {We present a survey of the Lusin condition (N) for $W^\{1,n\}$-Sobolev mappings $f:G → ℝ^n$ defined in a domain G of $ℝ^n$. Applications to the boundary behavior of conformal mappings are discussed.},
author = {Martio, O.},
journal = {Banach Center Publications},
keywords = {jacobians of the Sobolev mappings; mappings of the class $W^\{1,n\}$; Lusin condition (N)},
language = {eng},
number = {1},
pages = {255-262},
title = {Lebesgue measure and mappings of the Sobolev class $W^\{1,n\}$},
url = {http://eudml.org/doc/262873},
volume = {31},
year = {1995},
}

TY - JOUR
AU - Martio, O.
TI - Lebesgue measure and mappings of the Sobolev class $W^{1,n}$
JO - Banach Center Publications
PY - 1995
VL - 31
IS - 1
SP - 255
EP - 262
AB - We present a survey of the Lusin condition (N) for $W^{1,n}$-Sobolev mappings $f:G → ℝ^n$ defined in a domain G of $ℝ^n$. Applications to the boundary behavior of conformal mappings are discussed.
LA - eng
KW - jacobians of the Sobolev mappings; mappings of the class $W^{1,n}$; Lusin condition (N)
UR - http://eudml.org/doc/262873
ER -

References

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  14. [Rei] H. M. Reimann, On the absolute continuity of a surface representation, Comment. Math. Helv. 46 (1971), 44-47. Zbl0212.40503
  15. [Res1] Yu. G. Reshetnyak, The condition (N) for W n , l o c 1 space mappings, Sibirsk. Mat. Zh. 28 (1987), 149-153 (in Russian). 
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