| Boundedness of Commutators of Generalized Calder\'{o}n-Zygmund Operators |
| Received:November 14, 2005 Revised:July 03, 2006 |
| Key Words:
commutator Lipschitz function Hardy space Herz space boundedness．
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| Abstract: |
| $[b,T]$ denotes the commutator of generalized Calder\'{o}n-Zygmund operators $T$ with Lipschitz function $b$. This paper deals with that $[b,T]$ is bounded in classical Hardy spaces and Herz type Hardy spaces, and proves that $[b,T]$ is bounded from Hardy spaces to weak Lebesgue spaces and from Herz type Hardy spaces to weak Herz spaces on critical point. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.2007.01.009 |
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