IJPAM: Volume 31, No. 1 (2006)

A LINEARIZED MOSER-TRUDINGER INEQUALITY
ON THE UNIT DISC $B_2$

Meelae Kim
Department of Liberal Arts
Korea Polytechnic University
2121 Jungwang-dong, Sihung City
Kyunggi-do, KOREA
e-mail: mkim@kpu.ac.kr


Abstract.Classical Sobolev inequalities was used by Beckner to generalize the linearized Moser-Trudinger inequality for the sphere $S^2$. By using the same inequality we observe sharp form of the linearized Moser-Trudinger inequality on $B_2$ by using symmetrization and rearrangement.

Received: July 1, 2006

AMS Subject Classification: 46E30, 46E35

Key Words and Phrases: symmetrization, exponential Sobolev inequality

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 31
Issue: 1