96 citations · 107 across the 39 of their papers we have counts for
8 papers · 1 filter
Compact Toeplitz operators via the Berezin transform on radial weighted Bergman spaces
Yuerang Li, Zipeng Wang
Let be a radial -weight and be a bounded function on the unit disk . We prove that the Toeplitz operator \(T_{ω,u}\) is compact on \(A_ω^2\…
Strong and weak-type estimates for radial weighted Bergman projections
Yuerang Li, Zipeng Wang
We completely characterize the -boundedness and the weak-type (1,1) estimate of radial weighted Bergman projections on the unit disk. Our result, in particular, confirms a con…
A new proof of maximal theorem on Heisenberg groups
Chuhan Sun, Zipeng Wang
Given , we define \[\begin{array}{lr} \mathbf{M}_αf(u,v,t) = \sup_{ \mathbf{R} \ni (0,0,0)} {\rm vol} \{\mathbf{R}\}^{α-1} \iiint_\mathbf{R}\left|f [(u,v,t)\odot(ξ,η,τ)^{…
On a family of strong fractional maximal operators
Zipeng Wang
We study a parametrized family of strong maximal fractional operators. We prove their to boundedness for .
On the converse of the Shimorin--Peláez--Rättyä--Wick theorem
Yuerang Li, Zipeng Wang
We establish a converse of the Shimorin--Peláez--Rättyä--Wick theorem. Specifically, we obtain necessary and sufficient conditions for a Shimorin kernel to be the kernel of a radia…
The optimal hypercontractive constants for and biased Bernoulli random variables
Jie Cao, Shilei Fan, Yong Han +2
We resolve a folklore problem of determining the optimal hypercontractive constants for the cyclic group for all . More p…