Weighted Trudinger inequality associated with rough multilinear fractional type operators (Q386694)

The authors study the Trudinger inequality associate to multilinear fractional integral operators \(I_{\Omega ,\alpha }^{\Theta }\) and \(\overline{ I}_{\Omega ,\alpha }\) with rough homogeneous kernels and obtain some results which generalized and improved the work of \textit{Y. Ding} and \textit{S. Lu} [J. Math. Anal. Appl. 203, No. 1, 166--186 (1996; Zbl 0882.42010)] and \textit{W. Li} et al. [Stud. Math. 199, No. 1, 1--16 (2010; Zbl 1201.42009)]. Furthermore, the boundedness of the multilinear fractional maximal operator with a weighted norm is also established.