In this paper some results about the maximal operator and the Sobolev spaces are presented, in the framework of the variable exponent spaces. It is shown how to solve the difficulties in order to prove a version of the Sobolev theorem which can be proved following the classical ideas.
The maximal operator and the Sobolev theorem on variable exponent spaces / Fiorenza, Alberto. - In: RICERCHE DI MATEMATICA. - ISSN 0035-5038. - STAMPA. - 54:2(2005), pp. 571-578.
The maximal operator and the Sobolev theorem on variable exponent spaces
FIORENZA, ALBERTO
2005
Abstract
In this paper some results about the maximal operator and the Sobolev spaces are presented, in the framework of the variable exponent spaces. It is shown how to solve the difficulties in order to prove a version of the Sobolev theorem which can be proved following the classical ideas.File in questo prodotto:
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