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Multipliers of Laplace transform type for Laguerre and Hermite expansions
2011
Studia Mathematica
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We present a new criterion for the weighted L p -L q boundedness of multiplier operators for Laguerre and Hermite expansions that arise from a Laplace-Stieltjes transform. As a special case, we recover known results on weighted estimates for Laguerre and Hermite fractional integrals with a unified and simpler approach. 2010 Mathematics Subject Classification: Primary 42A45; Secondary 42C10, 42A38, 33C45.
doi:10.4064/sm203-3-4
fatcat:blhngwk265bzfejjmiaqtojg3u