3 citations · 4 across the 8 of their papers we have counts for
6 papers · 1 filter
BMO spaces associated to operators with generalised Poisson bounds on non-doubling manifolds with ends
Peng Chen, Xuan Thinh Duong, Ji Li +2
Consider a non-doubling manifold with ends where for . We say that a…
Weak type bounds for Schrödinger groups
Peng Chen, Xuan Thinh Duong, Ji Li +2
Let be a non-negative self-adjoint operator acting on where is a space of homogeneous type with a dimension . Suppose that the heat kernel of satisfies a Ga…
Sharp spectral multipliers without semigroup framework and application to random walks
Peng Chen, El Maati Ouhabaz, Adam Sikora +1
In this paper we prove spectral multiplier theorems for abstract self-adjoint operators on spaces of homogeneous type. We have two main objectives. The first one is to work outside…
Bounds on the maximal Bochner-Riesz means for elliptic operators
Peng Chen, Sanghyuk Lee, Adam Sikora +1
We investigate boundedness of the maximal Bochner-Riesz means for self-adjoint operators of elliptic type. Assuming the finite speed of propagation for the associated wave op…
Sharp spectral multipliers for Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
Peng Chen
We consider the abstract non-negative self-adjoint operator acting on which satisfies Davies-Gaffney estimates and the corresponding Hardy spaces . We assume…
Sharp spectral multipliers for a new class of Grushin type operators
Peng Chen, Adam Sikora
We describe weighted Plancherel estimates and sharp Hebisch-Müller-Stein type spectral multiplier result for a new class of Grushin type operators. We also discuss the optimal expo…