Estimates of discrete Riesz potentials on discrete weighted Lebesgue spaces.
- Resource Type
- Article
- Authors
- Hao, Xuebing; Li, Baode; Yang, Shuai
- Source
- Annals of Functional Analysis. Jul2024, Vol. 15 Issue 3, p1-24. 24p.
- Subject
- Language
- ISSN
- 2639-7390
Let 0 < α < 1 . We obtain necessary and sufficient conditions for the boundedness of the discrete fractional Hardy–Littlewood maximal operators M α on discrete weighted Lebesgue spaces. From this and a discrete variant of the Whitney decomposition theorem, necessary and sufficient conditions for the boundedness of the discrete Riesz potentials I α on discrete weighted Lebesgue spaces are discussed. As an application, the boundedness of I α on discrete weighted Morrey spaces is further obtained. [ABSTRACT FROM AUTHOR]