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Two-weight Inequalities for Commutators of Potential Operators on Spaces of Homogeneous Type

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Abstract

We derive the two-weight inequalities for the commutators of potential integral operators in the context of spaces of homogeneous type. The conditions required of the weights involve the Orlicz bumps. As a consequence, we obtain the norm estimates for these commutators for arbitrary weights.

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Correspondence to Wenming Li.

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Supported by the National Natural Science Foundation of China (Nos. 10771049, 60773174) and the Natural Science Foundation of Hebei Province (08M001).

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Li, W., Yan, X. & Yu, X. Two-weight Inequalities for Commutators of Potential Operators on Spaces of Homogeneous Type. Potential Anal 31, 117–131 (2009). https://doi.org/10.1007/s11118-009-9127-7

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  • DOI: https://doi.org/10.1007/s11118-009-9127-7

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