A TRANSPLANTATION THEOREM FOR THE HANKEL TYPE TRANSFORM ON THE HARDY SPACE

Abstract

In the present paper the transplantation operators for the Hankel type transform are considered and their boundedness on the real Hardy space is established. As its application, we have obtained the Hormander-Mihlin type multiplier theorem for the Hankel transform on the real Hardy space.

2000 Mathematics subject classification: Primary 42C10; Secondary 42B30, 33C45.