Gaoyong Zhang's Home Page Recent Papers
- G. Zhang,
The affine Sobolev inequality, J. Differential Geom. 53(1999), 183--202.
- E. Lutwak, D. Yang, and G. Zhang,
A new ellipsoid associated with convex bodies, Duke Math. J. 104(2000), 375--390.
- E. Lutwak, D. Yang, and G. Zhang,
L_p affine isoperimetric inequalities,
J. Differential Geom., 56(2000), 111--132.
- E. Lutwak, D. Yang, and G. Zhang,
A new affine invariant for polytopes and Schneider's projection problem,
Trans. Amer. Math. Soc., 353(2001), 1767--1779.
- E. Lutwak, D. Yang, and G. Zhang,
The Cramer--Rao inequality for star bodies, Duke Math. J. 112(2002), 59--81.
- E. Lutwak, D. Yang, and G. Zhang,
Sharp affine L_p Sobolev inequalities,
J. Differential Geom., 62(2002), 17--38.
- E. Lutwak, D. Yang, and G. Zhang,
Moment-entropy inequalities, Annals of Prob., 32(2004), 757--774.
- E. Lutwak, D. Yang, and G. Zhang,
On the L_p-Minkowski problem, Trans. Amer. Math. Soc., 356 (2004), 4359-4370.
- B. Rubin and G. Zhang,
Generalizations of the Busemann-Petty problem for sections of convex bodies,
J. Funct. Anal., 213 (2004), 473--501.
- E. Lutwak, D. Yang, and G. Zhang,
Volume inequalities for subspaces of L_p,
J. Differential Geom., 68(2004), 159--184.
- E. Lutwak, D. Yang, and G. Zhang,
Cramer-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information,
IEEE Trans. Info. Theory, 51(2005), 473--478.
- E. Lutwak, D. Yang, and G. Zhang,
L_p John ellipsoids,
Proc. London Math. Soc., 90(2005), 497--520.
- D. Hug, E. Lutwak, D. Yang, and G. Zhang,
On the L_p Minkowski problem for polytopes,
Discrete Comput. Geom., 33(2005), 699--715.