Journal of the
Korean Mathematical Society JKMS

we used Carleson and Chang's method to give another proof of the Moser-Trudinger inequality which was known as a limiting case of the Sobolev imbedding theorem and at the same time we get sharper information for the bound.

Keywords: symmetrization, limiting case of the Sobolev imbedding theorem, exponential type Sobolev inequality

MSC numbers: 4.60E+36