[1] |
Ludwig M . Minkowski valuations[J]. Trans Amer Math Soc, 2005,357:4191-4213.
|
[2] |
Ludwig M . Intersection bodies and valuations[J]. Amer J Math, 2006,128:1409-1428.
|
[3] |
Haberl C . $L_p$ intersection bodies[J]. Adv Math, 2008,217:2599-2624.
|
[4] |
Haberl C, Schuster F E . General $L_p$ affine isoperimetric inequalities[J]. J Differential Geom, 2009,83:1-26.
|
[5] |
Haberl C, Schuster F E . Asymmetric affine $L_p$ Sobolev inequalities[J]. J Funct Anal, 2009,257:641-658.
|
[6] |
Haberl C, Schuster F E, Xiao J . An asymmetric affine P$\acute{\rm o}$lya-Szeg$\ddot{\rm o}$ principle[J]. Math Ann, 2012,352:517-542.
|
[7] |
Weberndorfer M . Shadow systems of asymmetric $L_p$ zonotopes[J]. Adv Math, 2013,240:613-635.
|
[8] |
Parapatits L . $SL(n)$-covariant $L_p$-Minkowski valuations[J]. J Lond Math Soc, 2014,89:397-414.
|
[9] |
Parapatits L . $SL(n)$-contravariant $L_p$-Minkowski valuations[J]. Trans Amer Math Soc, 2014,366:1195-1211.
|
[10] |
Schuster F E, Wannerer T . $GL(n)$ contravariant Minkowski valuations[J]. Trans Amer Math Soc, 2012,364:815-826.
|
[11] |
Schuster F E, Weberndorfer M . Volume inequalities for asymmetric Wulff shapes[J]. J Differential Geom, 2012,92:263-283.
|
[12] |
Wang W D, Wan X Y . Shephard type problems for general $L_p$-projection bodies[J]. Taiwan J Math, 2012,16:1749-1762.
|
[13] |
Wang W D, Feng Y B . A general $L_p$-version of Petty's affine projection inequality[J]. Taiwan J Math, 2013,17:517-528.
|
[14] |
Wang W D, Ma T Y . Asymmetric $L_p$-difference bodies[J]. Proc Amer Math Soc, 2014,142:2517-2527.
|
[15] |
Wang W D . On inequalities for quermassintegrals and dual quermassintegrals of difference bodies[J]. Math Inequal Appl, 2014,17:41-48.
|
[16] |
Feng Y B, Wang W D, Lu F H . Some inequalities on general $L_p$-centroid bodies[J]. Math Ineq Appl, 2015,18:39-49.
|
[17] |
Schneider R. Convex bodies: the Brunn-Minkowski theory [M]. 2nd ed. Cambridge: Cambridge University Press, 2014.
|
[18] |
Lutwak E . Intersection bodies and dual mixed volumes[J]. Adv Math, 1988,71:232-261.
|
[19] |
Lutwak E . The Brunn-Minkowski-Firey theory: II. Affine and geominimal surface areas[J]. Adv Math, 1996,118:244-294.
|
[20] |
Moszy$\acute{N}$ska M . Quotient star bodies, intersection bodies, and star duality[J]. J Math Anal Appl, 1999,232:45-60.
|
[21] |
Wang W D, Leng G S . $L_ p$-dual mixed quermassintegrals[J]. Indian J Pure Appl Math, 2005,36:177-188.
|
[22] |
李小燕, 何斌吾 . 对偶 Brunn-Minkowski-Firey 定理[J]. 数学杂志, 2005,25(3):545-548.
|