4 papers · 1 filter
Calderón-Zygmund operators and endpoint spaces for Hermite expansions
The Anh Bui, Fu Ken Ly
Let be the Hermite operator on , and be a Calderón-Zygmund type operator that is modelled on certain singular integrals related to . We establish…
Calderón-Zygmund operators on local hardy spaces
The Anh Bui, Fu Ken Ly
We give necessary and sufficient conditions for inhomogeneous Calderón-Zgymund operators to be bounded on the local hardy spaces . We then give applications to l…
Weighted embeddings for function spaces associated with Hermite expansions
The Anh Bui, Ji Li, Fu Ken Ly
We study weighted Besov and Triebel--Lizorkin spaces associated with Hermite expansions and obtain (i) frame decompositions, and (ii) characterizations of continuous Sobolev-type e…
Maximal function characterizations for Hardy spaces on spaces of homogeneous type with finite measure and applications
The Anh Bui, Xuan Thinh Duong, Fu Ken Ly
We prove nontangential and radial maximal function characterizations for Hardy spaces associated to a non-negative self-adjoint operator satisfying Gaussian estimates on a space of…