From the 1 of 6 linked papers with an AI index.
6 papers
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…
The discontinuous limit case of an archetypal oscillator with constant excitation and van der Pol damping: A single equilibrium
Xiuli Cen, Hebai Chen, Yilei Tang +1
This paper investigates the global dynamics of the discontinuous limit case of an archetypal oscillator with constant excitation that exhibits a single equilibrium. For parameter r…
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…