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A generalization to the Hardy-Sobolev spaces Hk,p of an Lp-L1 logarithmic type estimate

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Abstract

The main purpose of this article is to give a generalization of the logarithmictype estimate in the Hardy-Sobolev spaces Hk,p(G); k ∈ N*, 1 ≤ p ≤ ∞ and G is the open unit disk or the annulus of the complex |space^C.

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Authors and Affiliations

  1. Laboratoire LAMHA-LR 11S52 Université de Sfax, Faculté des sciences de Sfax, Rue Jordanie, BP 1171, 3018, Sfax, Tunisie

    Imed Feki & Ameni Massoudi

  2. Laboratoire LAMHA-LR 11S52 Académie militaire, Al Funduq Al Jadid, Fondouk Jedid, 8012, Tunisie

    Houda Nfata

Authors
  1. Imed Feki
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  2. Ameni Massoudi
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  3. Houda Nfata
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Corresponding author

Correspondence to Imed Feki.

Additional information

This research has been supported by the Laboratory of Applied Mathematics and Harmonic Analysis: LAMHA-LR 11S52.

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Feki, I., Massoudi, A. & Nfata, H. A generalization to the Hardy-Sobolev spaces Hk,p of an Lp-L1 logarithmic type estimate. Czech Math J 68, 387–414 (2018). https://doi.org/10.21136/CMJ.2018.0466-16

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  • DOI: https://doi.org/10.21136/CMJ.2018.0466-16

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