A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces. (20th March 2013)

• Record Type: Journal Article
• Authors: Tang, Canqin
• Other Names: Banaś Józef Academic Editor.
• Is Part Of: Journal of function spaces and applications. Volume 2013(2013)
• Publication Date: 2013-03-20
• Subjects: Function spaces -- Periodicals; 515.73
• DOI: 10.1155/2013/865835
• Languages: English
• ISSNs: 0972-6802

Abstract

Abstract : 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, ω s, τ ( ℝ n ) and weighted Triebel-Lizorkin-type spaces F ˙ p, q, ω s, τ ( ℝ n ) for p ∈ ( 0, ∞ ) and then establish the φ -transform characterizations of these new spaces in the sense of Frazier and Jawerth.