Weighted Lebesgue and central Morrey estimates for $p$-adic multilinear Hausdorff operators and its commutators

• Date: 2021
• Main Authors: Chuong, N. M., Duong, D. V., Dung, K. H.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/441
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 We establish the sharp boundedness of $p$-adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of $p$-adic multilinear Hausdorff opera...