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math.CA2026
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…
math.CA2025
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…
math.CA2023
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…