11 citations · 31 across the 28 of their papers we have counts for
29 papers
Herz versus Fefferman: Symmetric and asymmetric Bochner--Riesz theory
Peng Chen, Dangyang He, Adam Sikora +1
We study Bochner--Riesz summability for a one-dimensional model of noncompact manifolds with ends. Each end has an effective Euclidean dimension, and these dimensions may differ fr…
The Garnett-Jones Theorem on BMO spaces associated with operators and applications
Peng Chen, Xuan Thinh Duong, Ji Li +2
Let be a metric space with doubling measure, and be a nonnegative self-adjoint operator on whose heat kernel satisfies the Gaussian upper bound. Let be in the…
The commutators of Bochner-Riesz Operators for Hermite operator
Peng Chen, Xixi Lin, Lixin Yan
In this paper, we study the -boundedness of the commutator of a BMO function and the Bochner-Riesz means for Her…
Compactness of the Bloom sparse operators and applications
Peng Chen, Michael Lacey, Ji Li +1
We establish the characterization of compactness for the sparse operator (associated with symbol in weighted VMO space) in the two weight setting on the spaces of homogeneous type…
Almost everywhere convergence of spectral sums for self-adjoint operators
Peng Chen, Xuan Thinh Duong, Lixin Yan
Let be a non-negative self-adjoint operator acting on the space , where is a metric measure space. Let be the spectral resolution…
Flag Hardy space theory on Heisenberg groups and applications
Peng Chen, Michael G. Cowling, Ming-Yi Lee +2
We establish a complete theory of the flag Hardy space on the Heisenberg group with characterisations via atomic decompositions, area functions, square functions, m…