Fu Ken Ly

activity

20152023

most citedWeighted embeddings for function spaces associated with Hermite expansions

9 citations · 12 across the 8 of their papers we have counts for

collaborators

9 papers

math.CA2023

Calderón-Zygmund operators and endpoint spaces for Hermite expansions

The Anh Bui, Fu Ken Ly

Let $L = - Δ + ∣ x ∣^{2}$ be the Hermite operator on $R^{n}$ , and $T$ be a Calderón-Zygmund type operator that is modelled on certain singular integrals related to $L$ . We establish…

math.CA2022

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 $h^{p} (R^{n})$ . We then give applications to l…

math.CA2022

On the $L^{2}$ boundedness of pseudo-multipliers for Hermite expansions

Fu Ken Ly

We give various conditions for Hermite pseudo-multipliers to be bounded on $L^{2} (R^{n})$ . As a by-product we also give results on $L^{p} (R^{n})$ , as well as new results…

math.CA2020★ 9 cited

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…

math.CA2020

Pseudo-multipliers and smooth molecules on Hermite Besov and Hermite Triebel--Lizorkin spaces

Fu Ken Ly, Virginia Naibo

We obtain new molecular decompositions and molecular synthesis estimates for Hermite Besov and Hermite Triebel--Lizorkin spaces and use such tools to prove boundedness properties o…

math.CA2018

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…

math.AP2016

Weighted estimates for powers and Smoothing estimates of Schrödinger operators with inverse-square potentials

The Anh Bui, Piero D'Ancona, Xuan Thinh Duong +2

Let $L_{a}$ be a Schrödinger operator with inverse square potential $a ∣ x ∣^{- 2}$ on $R^{d}, d \geq 3$ . The main aim of this paper is to prove weighted estimates for fr…

math.FA2016★ 3 cited

Maximal function characterizations for new local Hardy type spaces on spaces of homogeneous type

The Anh Bui, Xuan Thinh Duong, Fu Ken Ly

Let $X$ be a space of homogeneous type and let $L$ be a nonnegative self-adjoint operator on $L^{2} (X)$ enjoying Gaussian estimates. The main aim of this paper is twofold.…

math.AP2015

$T 1$ criterions for generalised Calderón--Zygmund type operators on Hardy and BMO spaces associated to Schrödinger operators and applications