A multiplier theorem for the Hankel transform on the associated Hardy space

作者：Shi, Yehao^*; Li, Zhongkai

来源：Studia Mathematica, 2018, 243(1): 1-12.

DOI：10.4064/sm8161-7-2017

• Hankel transform
• Hardy space
• multiplier
• Paley inequality

We prove a multiplier theorem for the Hankel transform H-nu from H-A nu (0, infinity), the Hardy space associated with the Bessel differential operator A(nu) into H nu Lq(0, infinity) := {H(nu)f : f is an element of L-q(0, infinity)}. As a consequence an extension of the Paley inequality for the Hankel transform is obtained.

• 出版日期2018
• 单位上海师范大学; 首都师范大学