From the 1 of 8 linked papers with an AI index.
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The multilinear fractional bounded mean oscillation operator theory I: sparse domination, sparse theorem, off-diagonal extrapolation, quantitative weighted estimate -- for generalized commutators
Xi Cen, Zichen Song
This paper introduces and studies a class of multilinear fractional bounded mean oscillation operators (denoted {\rm -FBMOOs}) defined on ball-basis measure spaces $(X, μ, \mat…
The multilinear fractional sparse operator theory II: refining weighted estimates via multilinear fractional sparse forms
Xi Cen
This paper refines the main results from our previous study on sparse bounds of generalized commutators of multilinear fractional singular integral operators in \cite{CenSong2412}.…
New fractional type weights and the boundedness of some operators
Xi Cen, Qianjun He, Zichen Song +1
Two classes of fractional type variable weights are established in this paper. The first kind of weights are variable multiple weights, which are…
The multilinear fractional sparse operator theory I: pointwise domination and weighted estimate
Xi Cen, Zichen Song
How to establish some specific quantitative weighted estimates for the generalized commutator of multilinear fractional singular integral operator is the f…
New variable weighted conditions for fractional maximal operators over spaces of homogeneous type
Xi Cen
Based on the rapid development of dyadic analysis and the theory of variable weighted function spaces over the spaces of homogeneous type in recent years, we systematica…
Fractional maximal operators on weighted variable Lebesgue spaces over the spaces of homogeneous type
Xi Cen
Let is a space of homogeneous type, we establish a new class of fractional-type variable weights . Then, we get the new weighted strong-type a…