Tohoku Mathematical Journal
2005
June
SECOND SERIES VOL. 57, NO. 2

Tohoku Math. J.
57 (2005), 231-246

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

Author Yuichi Kanjin

(Received August 6, 2003, revised April 5, 2004)
Abstract. The transplantation operators for the Hankel transform are considered and their boundedness on the real Hardy space is established. As its application, we obtain the Hörmander-Mihlin type multiplier theorem for the Hankel transform on the real Hardy space.

2000 Mathematics Subject Classification. Primary 42C10; Secondary 42B30, 33C45.
Key words and phrases. Hankel transform, transplantation theorem, Hardy space.

To the top of this page

Back to the Contents