The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

Two Remarks on Commutators of Hardy Operator


Yasuo Komori-Furuya

School of High Technology for Human Welfare 
Tokai University
317 Nishino Numazu, Shizuoka 410-0395 Japan  


Fu and Lu showed that
the commutator of multiplication operator by b and
the n-dimensional Hardy operator
is bounded on Lp if b is in some CMO space.
We shall prove the converse of this theorem
and also prove that their result is optimal by giving a counterexample

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