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\(L^{p}\)-boundedness, compactness of pseudo-differential operators on compact Lie groups

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Abstract

In this paper we investigate boundedness and compactness of pseudo-differential operators on compact Lie group \( \mathbb {G} \) and offer a new sufficient condition for boundedness and compactness of these operators on \(L^{p}(\mathbb {G}),\ \ p\ge 1\).

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Authors and Affiliations

  1. Iran University of Science and Technology, Tehran, Iran

    M. B. Ghaemi & M. Jamalpour Birgani

Authors
  1. M. B. Ghaemi
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  2. M. Jamalpour Birgani
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Correspondence to M. B. Ghaemi.

Additional information

M. J. Birgani: We would like to express our cordial thanks to the referees for their valuable suggestions which led to an improvement in the quality of this paper.

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Ghaemi, M.B., Birgani, M.J. \(L^{p}\)-boundedness, compactness of pseudo-differential operators on compact Lie groups. J. Pseudo-Differ. Oper. Appl. 8, 1–11 (2017). https://doi.org/10.1007/s11868-017-0186-z

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  • DOI: https://doi.org/10.1007/s11868-017-0186-z

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