1 citations · 1 across the 3 of their papers we have counts for
5 papers
A self-dual Dunkl wavelet frame and Besov--Triebel--Lizorkin spaces
The Anh Bui
We construct a self-dual Parseval wavelet frame associated with the Dunkl transform and use it to characterize the corresponding Besov and Triebel-Lizorkin spaces for arbitrary smo…
Bilinear and Fractional Leibniz Rules Beyond Euclidean Spaces: Weighted Besov and Triebel--Lizorkin Estimates
The Anh Bui
We establish fractional Leibniz rules in weighted settings for nonnegative self-adjoint operators on spaces of homogeneous type. Using a unified method that avoids Fourier transfor…
Dunkl paraproducts and fractional Leibniz rules for the Dunkl Laplacian
The Anh Bui, Suman Mukherjee
We establish fractional Leibniz rules for the Dunkl Laplacian of the form $$\|(-Δ_k)^s(fg)\|_{L^p(dμ_k)} \lesssim \|(-Δ_k)^s f\|_{L^{p_1}(dμ_k)} \|g\|_{L^{p_2}(dμ_k)} + \|f\|…
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…
Equivalence of Sobolev norms in Lebesgue spaces for Hardy operators in a half-space
The Anh Bui, Konstantin Merz
We consider Hardy operators, i.e., homogeneous Schrödinger operators consisting of the ordinary or fractional Laplacian in a half-space plus a potential, which only depends on the…