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https://repository.sustech.edu/handle/123456789/22888| Title: | Decompositions and Characterizations of Besov-Hausdorff and Triebel-Lizorkin Spaces with Variable Smoothness and Integerability |
| Other Titles: | التفكيكات والتشخيصات لفضاءات بيسوف هاوسدورف - وتريبل لزوركن مع الملسان المتغير والتكاملية |
| Authors: | Abdallah, Mohammed Adam Abbaker Supervisor, -Shawgy Hussein AbdAlla |
| Keywords: | Sciences Mathematics Characterizations of Besov-Hausdorff Triebel-Lizorkin Spaces Variable Smoothness and Integerability |
| Issue Date: | 12-Jul-2018 |
| Publisher: | Sudan University of Science and Technology |
| Citation: | Abdallah, Mohammed Adam Abbaker.Decompositions and Characterizations of Besov-Hausdorff and Triebel-Lizorkin Spaces with Variable Smoothness and Integerability\Mohammed Adam Abbaker Abdallah;Shawgy Hussein AbdAlla.- Khartoum: Sudan University of Science and Technology, College of Science, 2018 .- 263p. :ill. ;28cm .- PhD |
| Abstract: | We show the decompositions of Besov-Hausdorff and Triebel-Lizorkin-Hausdorff spaces. We also show the characterizations of Besov-Lipschitz, Besov-Morrey and Triebel-Lizorkin-Morrey spaces by maximal functions, local mean and including 𝒬 spaces. The function spaces, Besov-type spaces and atomic decomposition with variable smoothness and integrability are studied. |
| Description: | Thesis |
| URI: | http://repository.sustech.edu/handle/123456789/22888 |
| Appears in Collections: | PhD theses : Science |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Decompositions and Characterizations .. .pdf Restricted Access | Research | 3.2 MB | Adobe PDF | View/Open Request a copy |
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