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math.AP2019
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…
math.AP2019
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…
math.AP2019
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…