Sharp weighted norm inequalities for singular integrals with non–smooth kernels
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DOI: 10.1007/s00209-019-02416-4
Abstract: In this paper, we prove the sharp weighted bound for certain singular integrals which have non-smooth kernels and do not belong to the class of standard Calderón–Zygmund operators. Our assumptions are weaker than those known… read more here.
Keywords: integrals non; singular integrals; smooth kernels; non smooth ... See more keywords
On the Sharp-Weighted Norm Estimate for the Commutator of Littlewood–Paley Operators
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DOI: 10.1007/s41980-021-00603-w
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… read more here.
Keywords: norm estimate; weighted norm; estimate commutator; commutator ... See more keywords