Local-to-global results in variable exponent spaces

• Autores: Peter Hästö
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 2-3, 2009, págs. 263-278
• Idioma: inglés
• DOI: 10.4310/mrl.2009.v16.n2.a5
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• Resumen

  • 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.