Czechoslovak Mathematical Journal, Vol. 75, No. 3, pp. 993-1016, 2025
Weighted norm inequalities for certain classes of multilinear operators on Morrey spaces
Nan Zhao
Received January 12, 2025. Published online July 31, 2025.
Abstract: By applying a new class of multiple weights $A_{\vec{p}}^{\infty}$ containing the classical multiple weights, we establish strong-type and weak-type endpoint estimates for a certain class of multilinear operators, as well as for commutators generated by the new BMO function, on weighted Morrey spaces.
Keywords: multiple weight; multilinear operator; commutator; weighted Morrey space
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Affiliations: Nan Zhao, School of Mathematical Sciences, Xinjiang Normal University, No. 100, Guanjing Road, Shuimogou District, Urumqi 830017, P. R. China, e-mail: zhaonanmath@126.com