Commutators on Lipschitz spaces and related function spaces

doi:10.1007/s11464-007-0019-0

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Front. Math. China ›› 2007, Vol. 2 ›› Issue (2) : 287-303. DOI: 10.1007/s11464-007-0019-0

Commutators on Lipschitz spaces and related function spaces

Zhijian Wu

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Abstract

We characterize the symbol functions so that the associated commutators with symbol functions and the Hilbert transform are bounded on Lipschitz space ∧^p_α, where 1 < p < " and 0 < α < 1/p. Properties of such symbols are also discussed.

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Zhijian Wu. Commutators on Lipschitz spaces and related function spaces. Front. Math. China, 2007, 2(2): 287‒303 https://doi.org/10.1007/s11464-007-0019-0