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Boundedness and Compactness of the Spherical Mean Two-Wavelet Localization Operators

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Abstract

In this paper, we prove the boundedness and compactness of localization operators associated with spherical mean wavelet transforms, which depend on a symbol and two spherical mean wavelets on \(L^{p}(d\nu )\), \(1 \le p \le \infty \).

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Acknowledgements

The authors are deeply indebted to the referees for providing constructive comments and helps in improving the contents of this article. First author thanks professors K. Trimèche and M.W. Wong for their help.

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, Taibah University, PO Box 30002, Al Madinah Al Munawarah, Saudi Arabia

    Hatem Mejjaoli

  2. Département of mathematics, Faculté des sciences de Tunis, Tunis, Tunisia

    Slim Omri

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  1. Hatem Mejjaoli
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  2. Slim Omri
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Correspondence to Slim Omri.

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Mejjaoli, H., Omri, S. Boundedness and Compactness of the Spherical Mean Two-Wavelet Localization Operators. Bull Braz Math Soc, New Series 52, 977–1004 (2021). https://doi.org/10.1007/s00574-020-00241-6

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  • DOI: https://doi.org/10.1007/s00574-020-00241-6

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