Geodesic
Pointwise inequalities for Sobolev functions and some applications
Studia Mathematica, Tome 106 (1993) no. 1, pp. 77-92

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We get a class of pointwise inequalities for Sobolev functions. As a corollary we obtain a short proof of Michael-Ziemer's theorem which states that Sobolev functions can be approximated by $C^m$ functions both in norm and capacity.
DOI : 10.4064/sm-106-1-77-92
Keywords: Sobolev function, Taylor polynomial, approximation, integral representation, Bessel capacity

Bogdan Bojarski 1 ;  1

1 
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Bogdan Bojarski;  . Pointwise inequalities for Sobolev functions and some applications. Studia Mathematica, Tome 106 (1993) no. 1, pp. 77-92. doi: 10.4064/sm-106-1-77-92

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