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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 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…