Transplantation operators and Cesàro operators for the Hankel transform
Yuichi Kanjin
Studia Mathematica, Tome 173 (2006), p. 29-45 / Harvested from The Polish Digital Mathematics Library
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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 L¹-boundedness and H¹-boundedness of Cesàro operators for the Hankel transform.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284963 
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     title = {Transplantation operators and Ces\`aro operators for the Hankel transform},
     journal = {Studia Mathematica},
     volume = {173},
     year = {2006},
     pages = {29-45},
     zbl = {1130.42006},
     language = {en},
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Yuichi Kanjin. Transplantation operators and Cesàro operators for the Hankel transform. Studia Mathematica, Tome 173 (2006) pp. 29-45. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm174-1-3/