Weekly seminar on September 16.12.2015, 10:00 a.m. will feature a report by corresponding member of ANAS, professor, head of the Department of Mathematical Analysis Vagif Sabir oglu Guliyev, entitled “O’Neil inequality for multilinear convolution and some aplications”.
We prove the O’Neil inequality for the multilinear convolutions in the Lorentz spaces. As an application, we obtain the necessary and sufficient conditions on the parameters for the boundedness of the multisublinear fractional maximal operator and multilinear fractional integral operator with rough kernels in Lorentz spaces.