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
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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 
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 for the Hankel transform
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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

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