Abstract We characterize the symbol functions so that the associated commutators with symbol functions and the Hilbert transform are bounded on Lipschitz space ∧pα, where 1 < p < " and 0 < α < 1/p. Properties of such symbols are also discussed.
Issue Date: 05 June 2007
Cite this article:
Zhijian Wu. Commutators on Lipschitz spaces and related function spaces[J]. Front. Math. China,
2007, 2(2): 287-303.