A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces

Let s,τ∈ℝ ,  q∈(0,∞], and ω be in the class A∞ of Muckenhoupt. We introduce the weighted Besov-type spaces B˙p,q,ωs,τ(ℝn) and weighted Triebel-Lizorkin-type spaces F˙p,q,ωs,τ(ℝn) for p∈(0,∞) and then establish the φ-transform characterizations of these new spaces in the sense of Frazier and Jawerth....

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Bibliographic Details
Main Author: Canqin Tang
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/865835