Multipliers of Laplace Transform Type for Laguerre and Hermite Expansions
/ Authors
/ Abstract
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.
Journal: arXiv: Classical Analysis and ODEs
DOI: 10.4064/SM203-3-4