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...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2015-01-01
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Series: | Journal of Function Spaces |
Online Access: | http://dx.doi.org/10.1155/2015/104897 |