Transplantation operators and Cesàro operators for the Hankel transform

Yuichi Kanjin

Studia Mathematica (2006)

  • Volume: 174, Issue: 1, page 29-45
  • ISSN: 0039-3223

Abstract

top
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.

How to cite

top

Yuichi Kanjin. "Transplantation operators and Cesàro operators for the Hankel transform." Studia Mathematica 174.1 (2006): 29-45. <http://eudml.org/doc/284963>.

@article{YuichiKanjin2006,
abstract = {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.},
author = {Yuichi Kanjin},
journal = {Studia Mathematica},
keywords = {Cesàro operator; transplantation operator; Hankel transform},
language = {eng},
number = {1},
pages = {29-45},
title = {Transplantation operators and Cesàro operators for the Hankel transform},
url = {http://eudml.org/doc/284963},
volume = {174},
year = {2006},
}

TY - JOUR
AU - Yuichi Kanjin
TI - Transplantation operators and Cesàro operators for the Hankel transform
JO - Studia Mathematica
PY - 2006
VL - 174
IS - 1
SP - 29
EP - 45
AB - 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.
LA - eng
KW - Cesàro operator; transplantation operator; Hankel transform
UR - http://eudml.org/doc/284963
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.