Abstract
We investigate Laplace transform type and Laplace-Stieltjes type multipliers associated to the multi–dimensional Laguerre function expansions of Hermite type. We prove that, under the assumption α i ≥ −1/2, α i ∉ (−1/2, 1/2), these operators are Calderón-Zygmund operators. Consequently, their mapping properties follow by the general theory.
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Wróbel, B. Laplace Type Multipliers for Laguerre Expansions of Hermite Type. Mediterr. J. Math. 10, 1867–1881 (2013). https://doi.org/10.1007/s00009-013-0286-9
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DOI: https://doi.org/10.1007/s00009-013-0286-9