MR2369894 (2008k:52010) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Volume inequalities for isotropic measures. Amer. J. Math. 129 (2007), no. 6, 1711--1723. (Reviewer: Zokhrab Mustafaev) 52A38 (52A40)

MR2303029 (2007m:94071) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Moment-entropy inequalities for a random vector. IEEE Trans. Inform. Theory 53 (2007), no. 4, 1603--1607. (Reviewer: Oliver Johnson) 94A15 (94A17)

MR2211138 (2007d:52007) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Optimal Sobolev norms and the $L^p$ Minkowski problem. Int. Math. Res. Not. 2006, Art. ID 62987, 21 pp. (Reviewer: Wolfgang Lusky) 52A38 (46B20 46E35 52A21 52A39 52A40)

MR2236062 (2008a:94056) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Cramér-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information. IEEE Trans. Inform. Theory 51 (2005), no. 2, 473--478. (Reviewer: Djalil Chafaï) 94A17 (60E15 62B10 94A15)

MR2142136 (2006b:52007) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong $L_p$ John ellipsoids. Proc. London Math. Soc. (3) 90 (2005), no. 2, 497--520. (Reviewer: A. C. Thompson) 52A40 (52A20)

MR2132298 (2006b:52005) Hug, Daniel; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong On the $L_p$ Minkowski problem for polytopes. Discrete Comput. Geom. 33 (2005), no. 4, 699--715. (Reviewer: María A. Hernández Cifre) 52A39

MR2152912 (2006j:52010) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Volume inequalities for subspaces of $L_p$. J. Differential Geom. 68 (2004), no. 1, 159--184. (Reviewer: Aicke Hinrichs) 52A40 (52A20 52A38)

MR2111419 (2005j:52010) Chen, W.; Howard, R.; Lutwak, E.; Yang, D.; Zhang, G. A generalized affine isoperimetric inequality. J. Geom. Anal. 14 (2004), no. 4, 597--612. (Reviewer: Konrad J. Swanepoel) 52A40

MR2067123 (2005d:52013) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong On the $L_p$-Minkowski problem. Trans. Amer. Math. Soc. 356 (2004), no. 11, 4359--4370 (electronic). (Reviewer: Friedrich Pillichshammer) 52A40

MR2039942 (2004k:60026) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Moment-entropy inequalities. Ann. Probab. 32 (2004), no. 1B, 757--774. (Reviewer: Ilya S. Molchanov) 60D05 (52A22 52A40 60E05 94A17)

MR1987375 (2004d:46039) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Sharp affine $L_p$ Sobolev inequalities. J. Differential Geom. 62 (2002), no. 1, 17--38. (Reviewer: J. Michael Pearson) 46E35 (26D10 35J20 52A40)

MR1930297 (2003i:94023) Guleryuz, Onur G.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Information-theoretic inequalities for contoured probability distributions. IEEE Trans. Inform. Theory 48 (2002), no. 8, 2377--2383. 94A15 (26D15 60E05 62B10 62E10 94A17)

MR1890647 (2003f:52006) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong The Cramer-Rao inequality for star bodies. Duke Math. J. 112 (2002), no. 1, 59--81. (Reviewer: Apostolos A. Giannopoulos) 52A40 (94A17)

MR1813595 (2002c:52014) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong A new affine invariant for polytopes and Schneider's projection problem. Trans. Amer. Math. Soc. 353 (2001), no. 5, 1767--1779 (electronic). (Reviewer: Franck Barthe) 52A40 (52A39 52B11)

MR1863023 (2002h:52011) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong $L_p$ affine isoperimetric inequalities. J. Differential Geom. 56 (2000), no. 1, 111--132. (Reviewer: Franck Barthe) 52A40 (52A39)

MR1781476 (2001j:52011) Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong A new ellipsoid associated with convex bodies. Duke Math. J. 104 (2000), no. 3, 375--390. (Reviewer: Keith Ball) 52A40 (52A39)

MR1600051 (99a:52009) Lutwak, E. Containment and circumscribing simplices. Discrete Comput. Geom. 19 (1998), no. 2, 229--235. (Reviewer: Jane R. Sangwine-Yager) 52A39 (52A20)

MR1601426 (2000c:52011) Lutwak, Erwin; Zhang, Gaoyong Blaschke-Santaló inequalities. J. Differential Geom. 47 (1997), no. 1, 1--16. 52A40

MR1454936 (98m:52012) Lutwak, Erwin Inequalities for mean circumscribing simplices. Geom. Dedicata 66 (1997), no. 1, 119--124. (Reviewer: Jane R. Sangwine-Yager) 52A40

MR1390034 (98a:52011) Chakerian, G. D.; Lutwak, E. Bodies with similar projections. Trans. Amer. Math. Soc. 349 (1997), no. 5, 1811--1820. (Reviewer: Jane R. Sangwine-Yager) 52A39 (52B12)

MR1400197 (97i:52002) Goodey, P.; Lutwak, E.; Weil, W. Functional analytic characterizations of classes of convex bodies. Math. Z. 222 (1996), no. 3, 363--381. (Reviewer: Carla Peri) 52A21 (46B20 52A39)

MR1378681 (97f:52014) Lutwak, Erwin The Brunn-Minkowski-Firey theory. II. Affine and geominimal surface areas. Adv. Math. 118 (1996), no. 2, 244--294. (Reviewer: Carla Peri) 52A38

MR1316557 (95m:52007) Lutwak, Erwin; Oliker, Vladimir On the regularity of solutions to a generalization of the Minkowski problem. J. Differential Geom. 41 (1995), no. 1, 227--246. (Reviewer: Carla Peri) 52A20 (52A39 53A07)

MR1242979 (94h:52014) Lutwak, Erwin Selected affine isoperimetric inequalities. Handbook of convex geometry, Vol. A, B, 151--176, North-Holland, Amsterdam, 1993. (Reviewer: Martin Henk) 52A40 (52-02)

MR1231704 (94g:52008) Lutwak, Erwin The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem. J. Differential Geom. 38 (1993), no. 1, 131--150. (Reviewer: P. R. Goodey) 52A39

MR1222161 (94d:52010) Lutwak, Erwin A minimax inequality for inscribed cones. J. Math. Anal. Appl. 176 (1993), no. 1, 148--155. (Reviewer: G. D. Chakerian) 52A40 (52A38)

MR1124171 (93m:52011) Lutwak, Erwin Inequalities for mixed projection bodies. Trans. Amer. Math. Soc. 339 (1993), no. 2, 901--916. (Reviewer: G. D. Chakerian) 52A39 (52A40)

MR1197585 (94a:52021) Chakerian, G. D.; Lutwak, E. On the Petty-Schneider theorem. Geometric analysis (Philadelphia, PA, 1991), 31--37, Contemp. Math., 140, Amer. Math. Soc., Providence, RI, 1992. (Reviewer: W. J. Firey) 52A39 (52A40)

MR1185814 (93i:52006) Lutwak, Erwin On the semicontinuity of curvatures. Comment. Math. Helv. 67 (1992), no. 4, 664--669. (Reviewer: W. J. Firey) 52A20

MR1119418 (92k:52014) Lutwak, Erwin On some ellipsoid formulas of Busemann, Furstenberg and Tzkoni, Guggenheimer, and Petty. J. Math. Anal. Appl. 159 (1991), no. 1, 18--26. (Reviewer: Jane R. Sangwine-Yager) 52A39

MR1087796 (92d:52012) Lutwak, Erwin Extended affine surface area. Adv. Math. 85 (1991), no. 1, 39--68. (Reviewer: G. D. Chakerian) 52A38

MR1108653 (92c:52010) Lutwak, Erwin On a conjectured projection inequality of Petty. Integral geometry and tomography (Arcata, CA, 1989), 171--182, Contemp. Math., 113, Amer. Math. Soc., Providence, RI, 1990. (Reviewer: Keith Ball) 52A38 (52A40)

MR1062010 (91g:52006) Lutwak, Erwin On the affine isoperimetric inequality. Differential geometry and its applications (Brno, 1989), 109--118, World Sci. Publ., Teaneck, NJ, 1990. 52A40 (52B60 53A15)

MR1042624 (91b:52008) Lutwak, Erwin On quermassintegrals of mixed projection bodies. Geom. Dedicata 33 (1990), no. 1, 51--58. (Reviewer: Jane R. Sangwine-Yager) 52A39 (52A40)

MR1031458 (90k:52024) Lutwak, Erwin Centroid bodies and dual mixed volumes. Proc. London Math. Soc. (3) 60 (1990), no. 2, 365--391. (Reviewer: Richard E. Pfiefer) 52A40 (52A20)

MR0963487 (90a:52023) Lutwak, Erwin Intersection bodies and dual mixed volumes. Adv. in Math. 71 (1988), no. 2, 232--261. (Reviewer: Jane R. Sangwine-Yager) 52A40 (52A20)

MR0928304 (89h:52005) Lutwak, Erwin Inequalities for Hadwiger's harmonic Quermassintegrals. Math. Ann. 280 (1988), no. 1, 165--175. (Reviewer: Autorreferat (Zbl 617:52007)) 52A22

MR0901176 (89a:52011) Lutwak, Erwin Rotation means of projections. Israel J. Math. 58 (1987), no. 2, 161--169. (Reviewer: Joseph H. G. Fu) 52A22 (52A40)

MR0896173 (89d:52009) Lutwak, Erwin Mixed affine surface area. J. Math. Anal. Appl. 125 (1987), no. 2, 351--360. (Reviewer: C. M. Petty) 52A20 (52A40)

MR0840399 (87k:52030) Lutwak, Erwin On some affine isoperimetric inequalities. J. Differential Geom. 23 (1986), no. 1, 1--13. (Reviewer: C. M. Petty) 52A40

MR0825717 (87f:52017) Lutwak, Erwin Volume of mixed bodies. Trans. Amer. Math. Soc. 294 (1986), no. 2, 487--500. (Reviewer: G. D. Chakerian) 52A40 (52A22)

MR0809197 (87c:52018) Lutwak, Erwin On the Blaschke\mhy Santaló inequality. Discrete geometry and convexity (New York, 1982), 106--112, Ann. New York Acad. Sci., 440, New York Acad. Sci., New York, 1985. (Reviewer: C. M. Petty) 52A40

MR0809185 (86g:52002) Discrete geometry and convexity. Edited by Jacob E. Goodman, Erwin Lutwak, Joseph Malkevitch and Richard Pollack. Annals of the New York Academy of Sciences, 440. New York Academy of Sciences, New York, 1985. xii+392 pp. ISBN: 0-89766-275- 52-06

MR0766208 (86c:52015) Lutwak, Erwin Mixed projection inequalities. Trans. Amer. Math. Soc. 287 (1985), no. 1, 91--105. (Reviewer: G. D. Chakerian) 52A40

MR0729257 (85d:15034) Lutwak, Erwin On power means of positive quadratic forms. Linear Algebra Appl. 57 (1984), 13--19. (Reviewer: Donald Maurer) 15A63 (15A18)

MR0728360 (85i:52005) Lutwak, Erwin A general isepiphanic inequality. Proc. Amer. Math. Soc. 90 (1984), no. 3, 415--421. (Reviewer: C. M. Petty) 52A40

MR0699714 (84i:52018) Lutwak, Erwin A width-diameter inequality for convex bodies. J. Math. Anal. Appl. 93 (1983), no. 1, 290--295. (Reviewer: G. D. Chakerian) 52A40

MR0650309 (83g:52012) Lutwak, Erwin On packing curves into circles. Convexity and related combinatorial geometry (Norman, Okla., 1980), pp. 107--111, Lecture Notes in Pure and Appl. Math., 76, Dekker, New York, 1982. (Reviewer: H. Groemer) 52A45 (52A10)

MR0576978 (81k:52024) Lutwak, Erwin Isoperimetric inequalities involving bisectors. Bull. London Math. Soc. 12 (1980), no. 4, 289--295. (Reviewer: E. Heil) 52A40 (52A10)

MR0552323 (80m:52008) Lutwak, Erwin On a complementary Minkowski inequality. J. Math. Anal. Appl. 72 (1979), no. 1, 70--74. (Reviewer: S. Watanabe) 52A40 (52A20)

MR0551220 (80m:52007) Lutwak, Erwin Mean dual and harmonic cross-sectional measures. Ann. Mat. Pura Appl. (4) 119 (1979), 139--148. (Reviewer: Kit Hanes) 52A40 (52A20)

MR0533569 (80e:52010) Lutwak, E. On isoperimetric inequalities related to a problem of Moser. Amer. Math. Monthly 86 (1979), no. 6, 476--477. (Reviewer: J. M. Wills) 52A40

MR0493913 (58 #12873) Lutwak, E. On the expected value of the Euler-Poincaré characteristic of the intersection of two convex hypersurfaces. J. London Math. Soc. (2) 17 (1978), no. 3, 537--539. (Reviewer: Valentin Boju) 53C65 (60D05)

MR0464070 (57 #4007) Lutwak, Erwin Mixed width-integrals of convex bodies. Israel J. Math. 28 (1977), no. 3, 249--253. (Reviewer: E. Heil) 52A40

MR0428197 (55 #1222) Lutwak, Erwin On cross-sectional measures of polar reciprocal convex bodies. Geometriae Dedicata 5 (1976), no. 1, 79--80. (Reviewer: J. M. Wills) 52A40

MR0410571 (53 #14320) Lutwak, Erwin A dual of the isepiphanic inequality. Arch. Math. (Basel) 27 (1976), no. 2, 206--208. (Reviewer: Bernd Kind) 52A40

MR0400055 (53 #3890) Guggenheimer, H.; Lutwak, E. A characterization of the $n$-dimensional parallelotope. Amer. Math. Monthly 83 (1976), no. 6, 475--478. (Reviewer: P. R. Goodey) 52A25

MR0415505 (54 #3591) Lutwak, Erwin Dual cross-sectional measures. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 58 (1975), no. 1, 1--5. (Reviewer: W. J. Firey) 52A30

MR0383254 (52 #4135) Lutwak, Erwin Width-integrals of convex bodies. Proc. Amer. Math. Soc. 53 (1975), no. 2, 435--439. (Reviewer: H. W. Guggenheimer) 52A40

MR0383253 (52 #4134) Lutwak, Erwin A general Bieberbach inequality. Math. Proc. Cambridge Philos. Soc. 78 (1975), no. 3, 493--495. (Reviewer: L. A. Santalo) 52A40

MR0380631 (52 #1528) Lutwak, Erwin Dual mixed volumes. Pacific J. Math. 58 (1975), no. 2, 531--538. (Reviewer: H. W. Guggenheimer) 52A40