Abstract
In this article, we study the one weight vector valued norm inequality for the general one-sided maximal function \(M_w^+\). We prove a sufficient, as well as a necessary condition for the weighted boundedness of the one-sided maximal function \(M_w^+\) in the vector valued setting. We establish an inequality for the operator \(M_w^+\) in the scalar setting similar to the Fefferman-Stein’s weighted lemma.
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Acknowledgements
D. Chutia was supported by the DST INSPIRE (Grant No. DST/INSPIRE Fellowship/2017/IF170509). R. Haloi was supported by the DST MATRICS (Grant No. SERB/F/12082/2018-2019).
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Chutia, D., Haloi, R. (2021). Weighted Norm Inequality for General One-Sided Vector Valued Maximal Function. In: Giri, D., Buyya, R., Ponnusamy, S., De, D., Adamatzky, A., Abawajy, J.H. (eds) Proceedings of the Sixth International Conference on Mathematics and Computing. Advances in Intelligent Systems and Computing, vol 1262. Springer, Singapore. https://doi.org/10.1007/978-981-15-8061-1_45
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DOI: https://doi.org/10.1007/978-981-15-8061-1_45
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