# Lebesgue measure and mappings of the Sobolev class ${W}^{1,n}$

Banach Center Publications (1995)

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

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topMartio, 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 -

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