Geodesic
Multipliers of Laplace transform type for Laguerre and Hermite expansions
Pablo L. De Nápoli1 ; Irene Drelichman1 ; Ricardo G. Durán1
1Departamento de Matemática Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires Ciudad Universitaria 1428 Buenos Aires, Argentina
Studia Mathematica, Tome 203 (2011) no. 3, pp. 265-290
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/sm203-3-4
Mots-clés : present criterion weighted p l boundedness multiplier operators laguerre hermite expansions arise laplace stieltjes transform special recover known results weighted estimates laguerre hermite fractional integrals unified simpler approach

Pablo L. De Nápoli  1   ; Irene Drelichman  1   ; Ricardo G. Durán  1

1 Departamento de Matemática Facultad de Ciencias Exactas y Naturales Universidad de Buenos Aires Ciudad Universitaria 1428 Buenos Aires, Argentina 
@article{10_4064_sm203_3_4,
     author = {Pablo L. De N\'apoli and Irene Drelichman and Ricardo G. Dur\'an},
     title = {Multipliers of {Laplace} transform type for {Laguerre} and {Hermite} expansions},
     journal = {Studia Mathematica},
     pages = {265--290},
     year = {2011},
     volume = {203},
     number = {3},
     doi = {10.4064/sm203-3-4},
     language = {fr},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm203-3-4/}
}
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
SP  - 265
EP  - 290
VL  - 203
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm203-3-4/
DO  - 10.4064/sm203-3-4
LA  - fr
ID  - 10_4064_sm203_3_4
ER  - 
%0 Journal Article
%A Pablo L. De Nápoli
%A Irene Drelichman
%A Ricardo G. Durán
%T Multipliers of Laplace transform type for Laguerre and Hermite expansions
%J Studia Mathematica
%D 2011
%P 265-290
%V 203
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm203-3-4/
%R 10.4064/sm203-3-4
%G fr
%F 10_4064_sm203_3_4
Pablo L. De Nápoli; Irene Drelichman; Ricardo G. Durán. Multipliers of Laplace transform type for Laguerre and Hermite expansions. Studia Mathematica, Tome 203 (2011) no. 3, pp. 265-290. doi: 10.4064/sm203-3-4

Cité par Sources :