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.
2005
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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/302288
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