Some remarks on a class of weight functions

Loredana Caso; Maria Transirico

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 3, page 469-477
  • ISSN: 0010-2628

Abstract

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In this paper we obtain some results about a class of functions ρ : Ω → R + , where Ω is an open set of R n , which are related to the distance function from a fixed subset S ρ ⊂ ∂ Ω . We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function ρ .

How to cite

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Caso, Loredana, and Transirico, Maria. "Some remarks on a class of weight functions." Commentationes Mathematicae Universitatis Carolinae 37.3 (1996): 469-477. <http://eudml.org/doc/247870>.

@article{Caso1996,
abstract = {In this paper we obtain some results about a class of functions $\rho \,:\, \Omega \rightarrow R_+$, where $\Omega $ is an open set of $R^n$, which are related to the distance function from a fixed subset $S_\rho \subset \partial \Omega $. We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function $\rho $.},
author = {Caso, Loredana, Transirico, Maria},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {weight functions; weighted Sobolev spaces; distance function; imbedding theorems; weighted Sobolev spaces},
language = {eng},
number = {3},
pages = {469-477},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Some remarks on a class of weight functions},
url = {http://eudml.org/doc/247870},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Caso, Loredana
AU - Transirico, Maria
TI - Some remarks on a class of weight functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 3
SP - 469
EP - 477
AB - In this paper we obtain some results about a class of functions $\rho \,:\, \Omega \rightarrow R_+$, where $\Omega $ is an open set of $R^n$, which are related to the distance function from a fixed subset $S_\rho \subset \partial \Omega $. We deduce some imbedding theorems in weighted Sobolev spaces, where the weight function is a power of a function $\rho $.
LA - eng
KW - weight functions; weighted Sobolev spaces; distance function; imbedding theorems; weighted Sobolev spaces
UR - http://eudml.org/doc/247870
ER -

References

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