Mathematical Research Letters

Volume 16, Issue 2, March 2009 pp. 263-278.

Local-to-global results in variable exponent spaces

Authors: Peter A. Hästö
Author institution: University of Oulu (1)

Summary: 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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