11 citations · 69 across the 51 of their papers we have counts for
5 papers · 2 filters
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…
Frame decomposition and radial maximal semigroup characterization of Hardy spaces associated to operators
Xuan Thinh Duong, Ji Li, Liang Song +1
Let be the generator of an analytic semigroup whose kernels satisfy Gaussian upper bounds and Hölder's continuity. Also assume that has a bounded holomorphic functional cal…
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…
Sharp endpoint estimates for Schrödinger groups on Hardy spaces
Peng Chen, Xuan Thinh Duong, Ji Li +1
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 the…