A Continuous Characterization of Triebel-Lizorkin Spaces Associated with Hermite Expansions

We study the properties of the Triebel-Lizorkin spaces associated with the multidimensional Hermite expansions on Rd (d≥1). In addition to the endpoint estimates, we give the continuous characterizations of these spaces via harmonic and thermic extensions from Rd into R+d+1. Based on this result, we...

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Bibliographic Details
Main Authors: Shuli Gong, Bolin Ma, Zunwei Fu
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/104897