Estimates for the Product Weighted Hardy–Littlewood Average and Its Commutator on Product Central Morrey Spaces
Mediterranean Journal of Mathematics, ISSN: 1660-5454, Vol: 18, Issue: 6
2021
- 1Citations
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Metrics Details
- Citations1
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Article Description
We study the product weighted Hardy–Littlewood average H in this paper. More precisely, we first give the sufficient and necessary condition for the boundedness of H on the product central Morrey space B˙ → (R× R) , and obtain the sharp constant at the same time. Then we obtain a characterization of the boundedness for the commutator formed by H and a product central bounded mean oscillation function b. As a consequence, we give a complete answer to a question posed by Fu et al. (Forum Math 27(5):2825–2851, 2015).
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85117303721&origin=inward; http://dx.doi.org/10.1007/s00009-021-01876-5; https://link.springer.com/10.1007/s00009-021-01876-5; https://link.springer.com/content/pdf/10.1007/s00009-021-01876-5.pdf; https://link.springer.com/article/10.1007/s00009-021-01876-5/fulltext.html; https://dx.doi.org/10.1007/s00009-021-01876-5; https://link.springer.com/article/10.1007/s00009-021-01876-5
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