3 papers
math.AP2026
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…
math.CA2025
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…
math.FA2025
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…