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Matrix weighted inequalities for fractional type integrals associated to operators with new classes of weights
Yongming Wen, Huoxiong Wu
Let be a analytic semigroup generated by , where is a non-negative self-adjoint operator on . Assume that the kernels of , denoted by…
Weighted variational inequalities for heat semigroups associated with Schrödinger operators related to critical radius functions
Yongming Wen, Huoxiong Wu
Let be a Schrödinger operator and be the variation operator of heat semigroup associated to with . I…
Bump conditions for general iterated commutators with applications to compactness
Adam Mair, Kabe Moen, Yongming Wen
We prove new sufficient bump conditions for general iterated commutators of Calderón-Zygmund operators and fractional integral operators. As an application of our results we derive…
Compactness of commutators in the Bloom setting: the off-diagonal case
Yongming Wen
In this paper, we establish a new characterization of weighted spaces, which are essential different from the classical spaces, via the compactness of sparse…
Bump conditions and two-weight inequalities for commutators of fractional integrals
Yongming Wen, Huoxiong Wu
This paper gives new two-weight bump conditions for the sparse operators related to iterated commutators of fractional integrals. As applications, the two-weight bounds for iterate…
Sparse dominations and weighted variation inequalities for singular integrals and commutators
Yongming Wen, Huoxiong Wu, Qingying Xue
This paper gives the pointwise sparse dominations for variation operators of singular integrals and commutators with kernels satisfying the -Hörmander conditions. As applicati…