Commutators on Lipschitz spaces and related function spaces

Abstract

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

Keywords

commutators / Lipschitz spaces / capacity / Carleson measures

References

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