Multipliers of Laplace transform type for Laguerre and Hermite expansions

Pablo L. De Nápoli, Irene Drelichman, and Ricardo G. Durán. "Multipliers of Laplace transform type for Laguerre and Hermite expansions." Studia Mathematica 203.3 (2011): 265-290. <http://eudml.org/doc/285709>.

@article{PabloL2011,
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.},
author = {Pablo L. De Nápoli, Irene Drelichman, Ricardo G. Durán},
journal = {Studia Mathematica},
keywords = {Laguerre expansions; Hermite expansions; harmonic oscillator; fractional integration; multipliers},
language = {eng},
number = {3},
pages = {265-290},
title = {Multipliers of Laplace transform type for Laguerre and Hermite expansions},
url = {http://eudml.org/doc/285709},
volume = {203},
year = {2011},
}

TY - JOUR
AU - Pablo L. De Nápoli
AU - Irene Drelichman
AU - Ricardo G. Durán
TI - Multipliers of Laplace transform type for Laguerre and Hermite expansions
JO - Studia Mathematica
PY - 2011
VL - 203
IS - 3
SP - 265
EP - 290
AB - 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.
LA - eng
KW - Laguerre expansions; Hermite expansions; harmonic oscillator; fractional integration; multipliers
UR - http://eudml.org/doc/285709
ER -