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On the Set of α, p-Bounded Variation of Order h
並列摘要
In this paper we first explicit a subset of the set (l(subscript p), l(subscript u)) for 1≤p＜∞ and 0＜u＜∞. Then we deal with the space bv(superscript h subscript p)(α)(△(superscript h)) for h＞0 real, generalizing the well-known set of p-bounded variation bv(subscript p)=l(subscript p)(△), and characterize martix transformations mapping from bv(superscript h subscript p)(α) to bv(superscript k subscript u)(β) for 1≤p≤∞ and 0＜u≤∞.
被引用紀錄
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延伸閱讀
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- Wu, X. Y., & Bai, Z. B. (2008). On Third-Order Three-Point Right Focal Boundary Value Problems. Tamkang Journal of Mathematics, 39(4), 317-324. https://www.airitilibrary.com/Article/Detail?DocID=00492930-200812-200911130020-200911130020-317-324
- Jiang, S. J., & Ding, Y. (2013). Boundedness of Solutions for a Class of Second-Order Periodic Systems. Abstract and Applied Analysis, 2013(), 537-545-253. https://doi.org/10.1155/2013/267572
- Liu, D., & Ouyang, Z. (2014). Solvability of Third-Order Three-Point Boundary Value Problems. Abstract and Applied Analysis, 2014(), 474-480-1346. https://doi.org/10.1155/2014/793639
- Sirhan, E. A., & Altawallbeh, Z. (2014). Coproximinality in the Space of Bounded Functions. International Journal of Mathematics and Mathematical Sciences, 2014(), 100-104. https://doi.org/10.1155/2014/196391