The main purpose of this paper is to introduce the Laguerre–Bessel Lα2-multiplier operators and to give some results related to these operators as Plancherel's, Calderón's reproducing formulas and Heisenberg's, Donoho–Stark's uncertainty principles. Next, using the theory of reproducing kernels we give best estimates and an integral representation of the extremal functions related to this operators.
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Chana et al. (2024) studied this question.
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