Two-weight Inequalities for Commutators of Potential Operators on Spaces of Homogeneous Type |
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| Authors: | Wenming Li Xuefang Yan Xiaowu Yu |
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| Affiliation: | (1) College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050016, Hebei, People’s Republic of China |
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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. 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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| Keywords: | Commutator Potential operator BMO Two-weight inequality Spaces of homogeneous type |
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