2 papers
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.CA2024
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 systematical…