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BOUNDEDNESS OF COMMUTATORS WITH LIPSCHITZ FUNCTIONS IN NON-HOMOGENEOUS SPACES

BOUNDEDNESS OF COMMUTATORS WITH LIPSCHITZ FUNCTIONS IN NON-HOMOGENEOUS SPACES

Under the assumption that $\mu$ is a non-doubling measure on $\mathbb{R}^d$, the authors obtain the boundedness of commutators generated by Calderón-Zygmund operators or fractional integrals with Lipschitz functions in the Lebesgue space and the Hardy space.