IJPAM: Volume 7, No. 3 (2003)
School of High Technology for Human Welfare
Nishino 317, Numazu, Shizuoka 410-0395, JAPAN
Abstract.Shunchao and Jian showed that the commutator of multiplication operator by and Hardy operator is bounded on if is in one sided dyadic . We prove the converse of this theorem.
Received: May 13, 2003
AMS Subject Classification: 46E15
Key Words and Phrases: Hardy operator, commutator, one sided dyadic
Source: International Journal of Pure and Applied Mathematics