Transplantation operators and Cesàro operators for the Hankel transform
Volume 174 / 2006
Studia Mathematica 174 (2006), 29-45
MSC: Primary 42A38; Secondary 42A50, 42C10.
DOI: 10.4064/sm174-1-3
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 $L^1$-boundedness and $H^1$-boundedness of Cesàro operators for the Hankel transform.
