doi: 10.17706/ijapm.2020.10.1.25-32
Sufficient and Necessary Conditions for Holder’s Inequality in Weighted Orlicz Spaces
Al Azhary Masta
1
,
,
- 1 Department of Mathematics Education, Universitas Pendidikan Indonesia, Bandung, Indonesia
- 2 Analysis and Geometry Research Group, Institut Teknologi Bandung, Bandung, West Java, Indonesia.
Abstract
In this article, we present the sufficient and necessary conditions for Holder's inequality in weighted Orlicz spaces and in their weak type. One of the keys to prove our results is to estimate the norms of characteristic function in ℝ<sup><em><span style="font-size: 10px;">n</span></em></sup>.
Keywords
- Holder’s inequality
- Orlicz spaces
- weighted Orlicz spaces
How to Cite
Al Azhary Masta, Ifronika, and Siti Fatimah, "Sufficient and Necessary Conditions for Holder’s Inequality in Weighted Orlicz Spaces," International Journal of Applied Physics and Mathematics, vol. 10, no. 1, pp. 25-32, 2020. https://doi.org/ 10.17706/ijapm.2020.10.1.25-32
Copyright & License
Copyright © 2020 by the authors. 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 (CC BY 4.0).