A multiplier theorem for the Hankel transform on the associated Hardy space
Tom 243 / 2018
Studia Mathematica 243 (2018), 1-12
MSC: Primary 42C15; Secondary 42B30, 42B15.
DOI: 10.4064/sm8161-7-2017
Opublikowany online: 5 February 2018
Streszczenie
We prove a multiplier theorem for the Hankel transform from H_{A_{\nu }}(0,\infty ), the Hardy space associated with the Bessel differential operator A_{\nu }, into H_{\nu }L^q(0,\infty ):=\{H_{\nu }f:f\in L^q(0,\infty )\}. As a consequence an extension of the Paley inequality for the Hankel transform is obtained.
