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Duality of Besov, Triebel–Lizorkin and Herz spaces with variable exponents

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Abstract

Our aim is to prove duality and reflexivity of Besov spaces, Triebel–Lizorkin spaces and Herz spaces with variable exponents.

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Authors and Affiliations

  1. Faculty of Education, Okayama University, 3-1-1 Tsushima-naka, Okayama , 700-8530, Japan

    Mitsuo Izuki

  2. Department of Mathematics, Graduate School of Science and Engineering, Chuo University, 13-27 Kasuga 1-chome, Bunkyoku, Tokyo, Japan

    Takahiro Noi

Authors
  1. Mitsuo Izuki
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  2. Takahiro Noi
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Corresponding author

Correspondence to Takahiro Noi.

Additional information

The first author was partially supported by Grand-in-Aid for Scientific Research (C), No. 24540185, for Japan Society for the Promotion of Science.

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Izuki, M., Noi, T. Duality of Besov, Triebel–Lizorkin and Herz spaces with variable exponents. Rend. Circ. Mat. Palermo 63, 221–245 (2014). https://doi.org/10.1007/s12215-014-0154-x

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  • DOI: https://doi.org/10.1007/s12215-014-0154-x

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