Multipliers of Laplace transform type for Laguerre and Hermite expansions
Tom 203 / 2011
Studia Mathematica 203 (2011), 265-290
MSC: Primary 42A45; Secondary 42C10, 42A38, 33C45.
DOI: 10.4064/sm203-3-4
Streszczenie
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.
