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On the Generalized Hardy Spaces

Author

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  • M. Fatehi

Abstract

We introduce new spaces that are extensions of the Hardy spaces and we investigate the continuity of the point evaluations as well as the boundedness and the compactness of the composition operators on these spaces.

Suggested Citation

  • M. Fatehi, 2010. "On the Generalized Hardy Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    • Handle: RePEc:wly:jnlaaa:v:2010:y:2010:i:1:n:803230
    DOI: 10.1155/2010/803230
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    References listed on IDEAS

    as
    1. Sei-Ichiro Ueki & Luo Luo, 2008. "Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-12, March.
    2. Sei-Ichiro Ueki & Luo Luo, 2008. "Compact Weighted Composition Operators and Multiplication Operators between Hardy Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
    3. Stevo Stević, 2009. "Composition Operators from the Hardy Space to the Zygmund-Type Space on the Upper Half-Plane," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-8, April.
    4. Stevo Stević, 2009. "Composition Operators from the Hardy Space to the Zygmund‐Type Space on the Upper Half‐Plane," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    5. Xiaohong Fu & Xiangling Zhu, 2008. "Weighted Composition Operators on Some Weighted Spaces in the Unit Ball," Abstract and Applied Analysis, Hindawi, vol. 2008, pages 1-8, June.
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