Embeddings of variable Hajlasz-Sobolev spaces into Holder spaces of variable order

Authors

  • Alexandre Almeida Departamento de Matem ́atica Universidade de Aveiro 3810-193 Aveiro Portugal
  • Stefan Samko Faculdade de Ciˆencias e Tecnologia Universidade do Algarve Campus de Gambelas 8005-139 Faro Portugal

Abstract

Pointwise estimates in variable exponent Sobolev spaces on quasi-metric measure spaces are investigated. Based on such estimates, Sobolev embeddings into H\"older spaces with variable order are obtained. This extends some known results to the variable exponent setting.

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Published

2009-01-07

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Section

Articles

How to Cite

Embeddings of variable Hajlasz-Sobolev spaces into Holder spaces of variable order. (2009). Armenian Journal of Mathematics, 1(4), 19-31. https://armjmath.sci.am/index.php/ajm/article/view/45