Geodesic
Boundary values of functions in a~Sobolev space with Muckenhoupt weight on some non-Lipschitz domains
Sbornik. Mathematics, Tome 205 (2014) no. 8, pp. 1133-1159

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This paper gives an explicit description of the traces of functions in a weighted Sobolev space (with local Muckenhoupt weight) on the domain lying between two graphs of Lipschitz functions and on the complement of the closure of this domain. Bibliography: 11 titles.
Keywords: Muckenhoupt weight, weighted Sobolev space, Besov spaces of variable smoothness
Mots-clés : non-Lipschitz domains. 
@article{SM_2014_205_8_a3,
     author = {A. I. Tyulenev},
     title = {Boundary values of functions in {a~Sobolev} space with {Muckenhoupt} weight on some {non-Lipschitz} domains},
     journal = {Sbornik. Mathematics},
     pages = {1133--1159},
     publisher = {mathdoc},
     volume = {205},
     number = {8},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2014_205_8_a3/}
}
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A. I. Tyulenev. Boundary values of functions in a~Sobolev space with Muckenhoupt weight on some non-Lipschitz domains. Sbornik. Mathematics, Tome 205 (2014) no. 8, pp. 1133-1159. http://geodesic.mathdoc.fr/item/SM_2014_205_8_a3/