1 citations · 1 across the 5 of their papers we have counts for
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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…
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 .
Multi-parameter fractional integration on Heisenberg group
Chuhan Sun, Zipeng Wang
We study strong fractional maximal operator and fractional integral operator associated with Zygmund dilation defined on Heisenberg group. Characterizations are established for the…
to -boundedness of fractional integral operators having a flag kernel
Jiashu Zhang, Zipeng Wang
We study a family of fractional integral operators whose kernels satisfying an non-isotropic dilation have singularity on a coordinate subspace. A characterization is given for the…
Fractional integration with singularity on the light-cone
Zipeng Wang
We study a family of convolution operators whose symbols and kernels have singularity on the light-cone in . First, we prove a desired no…