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Spectral asymptotic formula of Bessel--Riesz commutator
Zhijie Fan, Ji Li, Fedor Sukochev +1
Let be the -th Bessel--Riesz transform, where , , and . In this article, we establish a Weyl type asymptotic for , the com…
Schatten--Lorentz characterization of Riesz transform commutator associated with Bessel operators
Zhijie Fan, Michael Lacey, Ji Li +1
Let be the Bessel operator on the upper half space with and , and be the th Bessel Riesz transform, . We dem…
Lipschitz and Triebel--Lizorkin spaces, commutators in Dunkl setting
Yongsheng Han, Ming-Yi Lee, Ji Li +1
We first study the Lipschitz spaces associated with the Dunkl metric, , and prove that it is a proper subspace of the classical Lipschitz spaces on $\mat…
Endpoint weak Schatten class estimates and trace formula for commutators of Riesz transforms with multipliers on Heisenberg groups
Zhijie Fan, Ji Li, Edward McDonald +2
Along the line of singular value estimates for commutators by Rochberg-Semmes, Lord-McDonald-Sukochev-Zanin and Fan-Lacey-Li, we establish the endpoint weak Schatten class estimate…
On weak-star convergence in product Hardy spaces on spaces of homogeneous type
Ming-Yi Lee, Ji Li, Lesley A. Ward
A classical theorem of Jones and Journé on weak-star convergence in the Hardy space was generalised to the multiparameter setting by Pipher and Treil. We prove the analogous…