bi-parameter Calderón-Zygmund operators 1extrapolation theory 1little bmo 1product morrey-herz spaces 1strong maximal operator 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.FA2026
Extrapolation to product Morrey-Herz spaces and applications
Xi Cen, Zichen Song
The paper introduces product Morrey‑Herz and product block‑Herz spaces, establishes their duality and the boundedness of the strong maximal operator, and then uses Rubio de Francia…
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, \mat…
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 f…