Two-weight Inequalities for Commutators of Potential Operators on Spaces of Homogeneous Type
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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.
KeywordsCommutator Potential operator BMO Two-weight inequality Spaces of homogeneous type
Mathematics Subject Classifications (2000)42B25 44A15
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- 2.Garcia-Cuerva, J., Rubio De Francia, J.I.: Weightted Norm Inequalities and Related Topics. North-Holland, Amsterdam (1985)Google Scholar