2011

Date: October 14 (Fri) 16:30 - 17:30

Place: B701, Fac. Sci., Hiroshima University

Speaker: Yoshihiro MIZUTA (Hiroshima Institute of Technology)

Title: Trudinger's inequality for Sobolev functions

Abstract:

A famous Trudinger inequality insists that Sobolev functions in W^1,N(G) satisfy finite exponential integrability, where G is an open bounded set in R^N. Great progress on Trudinger type inequalities has been made for Riesz potentials of order α (0<α<N) in the limiting case αp=N. In this talk, we give recent results on Trudinger type exponential integrability in Orlicz spaces, Morrey spaces, and Orlicz-Morrey spaces.

Date: December 9 (Fri) 14:30 - 15:30

Place: B707, Fac. Sci., Hiroshima University

Speaker: Makoto ABE (Hiroshima Uniersity)

Title: Holomorphic line bundles and Cartier divisors on domains of a Stein orbifold

Abstract:

Let X be a Stein orbifold of pure dimension n such that Sing(X) is discrete. Let D be an open set of X such that H^k(D,O) = 0 for 2 ≤ k ≤ n−1 and for every topologically trivial holomorphic line bundle on D is associated to some Cartier divisor on D. Then D is Stein.

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