24 papers
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…
L^p-boundedness of the Bochner-Riesz operator
Zipeng Wang
In this paper, we give a new approach to the Bochner-Riesz summability. As a result, we show that the Bochner-Riesz operator is bounded on $\mat…
GRTresna: An open-source code to solve the initial data constraints in numerical relativity
Josu C. Aurrekoetxea, Sam E. Brady, Llibert Aresté-Saló +11
GRTresna is a multigrid solver designed to solve the constraint equations for the initial data required in numerical relativity simulations. In particular, it is focussed on scenar…
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…
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 ra…