11 citations · 69 across the 51 of their papers we have counts for
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Hardy spaces meet harmonic weights
Marcin Preisner, Adam Sikora, Lixin Yan
We investigate the Hardy space associated with a self-adjoint operator defined in a general setting in [S. Hofmann, et. al., Hardy spaces associated to non-negative sel…
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…
A Boundedness Criterion for Singular Integral Operators of convolution type on the Fock Space
Guangfu Cao, Ji Li, Minxing Shen +2
We show that for an entire function belonging to the Fock space on the complex Euclidean space , the integral operator \begin{eqnar…
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…