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math.CA2025
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, \math…
math.CA2025
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}.…
math.CA2025
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 fo…