Thời gian: 9h30 Thứ 4, ngày 16/10/2019
Địa điểm: Phòng 507, tòa nhà A6, Viện Toán học
Tóm tắt: In this talk, we discuss a so-called Hardy-Moser-Trudinger inequality which combines both the sharp Hardy inequality and the sharp Moser-Trudinger inequality in the unit ball. This inequality was previously proved by G. Wang and D. Ye in dimension two via the blow-up analysis method. In this talk, we provide an extension of this inequality to higher dimensions. The proof combines the rearrangement argument together with the method of transplantation of Green functions without using the blow-up analysis method. As a consequence, we obtain a sharp Moser-Trudinger type inequality in the hyperbolic space which was conjectured by G. Mancini, K. Sandeep and C. Tintarev.