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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…