TY - JOUR T1 - Variable Exponent Central Morrey Estimates for Multilinear Bochner-Riesz Operators AU - Yang , Yanqi AU - Yang , Lulu AU - Tao , Shuangping JO - Analysis in Theory and Applications VL - 3 SP - 259 EP - 283 PY - 2025 DA - 2025/09 SN - 41 DO - http://doi.org/10.4208/ata.OA-2024-0022 UR - https://global-sci.org/intro/article_detail/ata/24486.html KW - Multilinear Bochner-Riesz operator, commutator, central Morrey space with variable exponent, boundedness. AB -
We prove the boundedness of multilinear Bochner-Riesz operator on central Morrey spaces with variable exponents. Moreover, we also show that the variable exponent Lipschitz commutator of Bochner-Riesz operator are bounded on above spaces. As applications, we also obtain the bounds of the commutators generated by $\lambda$-central BMO functions and Bochner-Riesz operators on central Morrey spaces with variable exponents.