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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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Function Spaces and Applications |
| Online Access: | http://dx.doi.org/10.1155/2013/865835 |
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| author | Canqin Tang |
| author_facet | Canqin Tang |
| author_sort | Canqin Tang |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-34e4540dd1944c1680bc03e081a2a886 |
| institution | Kabale University |
| issn | 0972-6802 1758-4965 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces and Applications |
| spelling | doaj-art-34e4540dd1944c1680bc03e081a2a8862025-02-03T06:11:34ZengWileyJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/865835865835A Note on Weighted Besov-Type and Triebel-Lizorkin-Type SpacesCanqin Tang0Department of Mathematical, Dalian Maritime University, Dalian, Liaoning 116026, ChinaLet 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.http://dx.doi.org/10.1155/2013/865835 |
| spellingShingle | Canqin Tang A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces Journal of Function Spaces and Applications |
| title | A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces |
| title_full | A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces |
| title_fullStr | A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces |
| title_full_unstemmed | A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces |
| title_short | A Note on Weighted Besov-Type and Triebel-Lizorkin-Type Spaces |
| title_sort | note on weighted besov type and triebel lizorkin type spaces |
| url | http://dx.doi.org/10.1155/2013/865835 |
| work_keys_str_mv | AT canqintang anoteonweightedbesovtypeandtriebellizorkintypespaces AT canqintang noteonweightedbesovtypeandtriebellizorkintypespaces |