Mathematical Research Letters

Volume 16 (2009)

Number 2

Local-to-global results in variable exponent spaces

Pages: 263 – 278

DOI: http://dx.doi.org/10.4310/MRL.2009.v16.n2.a5

Author

Peter A. Hästö (University of Oulu)

Abstract

In this article a new method for moving from local to global results in variable exponent function spaces is presented. Several applications of the method are also given: Sobolev and trace embeddings; variable Riesz potential estimates; and maximal function inequalities in Morrey spaces are derived for unbounded domains.

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