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Boundedness of the pseudo-differential Bessel operators on Sobolev and Bessel potential spaces

Article scientifique 2022 Anglais

Résumé

Abstract An n-dimensional pseudo-differential Bessel operators Bα,a involving the multidimensional Fourier-Bessel transformation is defined. Then, we introduce some class of symbols and we prove that Bα,a are bounded on Sobolev and Bessel potentials spaces. Moreover, a generalized Bessel potential is defined and its properties are investigated.

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Selmi, B., Khelifi, C. (2022). Boundedness of the pseudo-differential Bessel operators on Sobolev and Bessel potential spaces. https://doi.org/10.21203/rs.3.rs-2100067/v1

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Belgacem Selmi Chahiba Khelifi

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