Duality of Variable Exponent Triebel-Lizorkin and Besov Spaces

作者:Noi Takahiro*
来源:Journal of Function Spaces and Applications, 2012, 361807.
DOI:10.1155/2012/361807

摘要

We will prove the duality and reflexivity of variable exponent Triebel-Lizorkin and Besov spaces. It was shown by many authors that variable exponent Triebel-Lizorkin spaces coincide with variable exponent Bessel potential spaces, Sobolev spaces, and Lebesgue spaces when appropriate indices are chosen. In consequence of the results, these variable exponent function spaces are shown to be reflexive.

  • 出版日期2012

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