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On the Sharp-Weighted Norm Estimate for the Commutator of Littlewood–Paley Operators

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Using a classical Cauchy integral argument, we obtain sharp-weighted inequality for mth order commutator of a square function with $$b \in \text{ BMO }$$ . Also, the $$A_{p}-A_{\infty }$$ estimate… Click to show full abstract

Using a classical Cauchy integral argument, we obtain sharp-weighted inequality for mth order commutator of a square function with $$b \in \text{ BMO }$$ . Also, the $$A_{p}-A_{\infty }$$ estimate for commutators of square functions is proved.

Keywords: norm estimate; weighted norm; estimate commutator; commutator; sharp weighted

Journal Title: Bulletin of the Iranian Mathematical Society
Year Published: 2021

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