Geodesic
Transplantation operators and Cesàro operators for the Hankel transform
Yuichi Kanjin1
1Mathematics Section Division of Innovative Technology and Science Graduate School of Natural Science and Technology Kanazawa University Kanazawa 920-1192, Japan
Studia Mathematica, Tome 174 (2006) no. 1, pp. 29-45

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

The transplantation operators for the Hankel transform are considered. We prove that the transplantation operator maps an integrable function under certain conditions to an integrable function. As an application, we obtain the $L^1$-boundedness and $H^1$-boundedness of Cesàro operators for the Hankel transform.
DOI : 10.4064/sm174-1-3
Keywords: transplantation operators hankel transform considered prove transplantation operator maps integrable function under certain conditions integrable function application obtain boundedness boundedness ces operators hankel transform

Yuichi Kanjin  1

1 Mathematics Section Division of Innovative Technology and Science Graduate School of Natural Science and Technology Kanazawa University Kanazawa 920-1192, Japan 
Yuichi Kanjin. Transplantation operators and Cesàro operators
 for the Hankel transform. Studia Mathematica, Tome 174 (2006) no. 1, pp. 29-45. doi: 10.4064/sm174-1-3
@article{10_4064_sm174_1_3,
     author = {Yuichi Kanjin},
     title = {Transplantation operators and {Ces\`aro} operators
 for the {Hankel} transform},
     journal = {Studia Mathematica},
     pages = {29--45},
     year = {2006},
     volume = {174},
     number = {1},
     doi = {10.4064/sm174-1-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm174-1-3/}
}
TY  - JOUR
AU  - Yuichi Kanjin
TI  - Transplantation operators and Cesàro operators
 for the Hankel transform
JO  - Studia Mathematica
PY  - 2006
SP  - 29
EP  - 45
VL  - 174
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm174-1-3/
DO  - 10.4064/sm174-1-3
LA  - en
ID  - 10_4064_sm174_1_3
ER  - 
%0 Journal Article
%A Yuichi Kanjin
%T Transplantation operators and Cesàro operators
 for the Hankel transform
%J Studia Mathematica
%D 2006
%P 29-45
%V 174
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/sm174-1-3/
%R 10.4064/sm174-1-3
%G en
%F 10_4064_sm174_1_3

Cité par Sources :