Hessian measures of semi-convex functions and applications to support measures of convex bodies
β Scribed by Andrea Colesanti; Daniel Hug
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 206 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let ΠΈ be the Euclidean norm on R and β₯ the standard Gaussian measure n n Ε½ . ynr2 y5x5 2 r2 on R with density 2 e . It is proved that there is a numerical constant c ) 0 n Ε½ . with the following property: if K is an arbitrary convex body in R with β₯ K G 1r2, then n n 5 5 5 5 to each sequence u , . .
Let A be the class of analytic functions in the open unit disk U. Given 0 ~ A < 1, let ~x be the operator defined on ,4 by where D~I is the fractional derivative of f of order A. A function f in ,4 is said to be in the class SPx if ~Af is a parabolic starlike function. In this paper, several basic