Qingbo Huang (Advisor), Qun Li (Committee Member), Steen Pedersen (Committee Member)
Master of Science (MS)
In this paper, we establish the John-Stromberg inequality in certain anisotropic BMO spaces and apply the inequality to anisotropic Holder continuous function spaces. To achieve this goal, we define the median value, BMO space and sharp maximal function first. Secondly we constructed a family of continuously expanding rectangles and give a Calderon-Zygmund type decomposition. By using these tools, we establish the John-Stromberg inequality. Finally, an application to anisotropic Holder continuous function spaces is presented.
Department or Program
Department of Mathematics and Statistics
Year Degree Awarded
Copyright 2018, some rights reserved. My ETD may be copied and distributed only for non-commercial purposes and may not be modified. All use must give me credit as the original author.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.