The paper characterizes boundedness and compactness of Beurling-Ahlfors commutators on weighted Morrey spaces via BMO and CMO, and applies the compactness result to solve Beltrami equations.
Commutators of singular integrals revisited
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abstract
We obtain a Bloom-type characterization of the two-weighted boundedness of iterated commutators of singular integrals. The necessity is established for a rather wide class of operators, providing a new result even in the unweighted setting for the first order commutators.
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math.CA 1years
2019 1verdicts
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Buerling-Ahlfors Commutators on Weighted Morrey Spaces and Applications to Beltrami Equations
The paper characterizes boundedness and compactness of Beurling-Ahlfors commutators on weighted Morrey spaces via BMO and CMO, and applies the compactness result to solve Beltrami equations.