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Journal of Function Spaces and Applications
Volume 2013, Article ID 865835, 12 pages
Research Article

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

Department of Mathematical, Dalian Maritime University, Dalian, Liaoning 116026, China

Received 16 November 2012; Revised 1 February 2013; Accepted 1 February 2013

Academic Editor: Józef Banaś

Copyright © 2013 Canqin Tang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let , and ω be in the class of Muckenhoupt. We introduce the weighted Besov-type spaces and weighted Triebel-Lizorkin-type spaces for and then establish the φ-transform characterizations of these new spaces in the sense of Frazier and Jawerth.