Kerman, Ely; Liang, Yuanpu Higher index symplectic capacities do not satisfy the symplectic Brunn-Minkowski inequality. (English) Zbl 07456838 Isr. J. Math. 245, No. 1, 27-38 (2021). Reviewer: Martin Henk (Berlin) MSC: 53D35 57R17 52A40 PDF BibTeX XML Cite \textit{E. Kerman} and \textit{Y. Liang}, Isr. J. Math. 245, No. 1, 27--38 (2021; Zbl 07456838) Full Text: DOI OpenURL
Rashkovskii, Alexander Interpolation of weighted extremal functions. (English) Zbl 07447004 Arnold Math. J. 7, No. 3, 407-417 (2021). Reviewer: Rafał Czyż (Krakow) MSC: 32U15 32U20 52A20 52A40 PDF BibTeX XML Cite \textit{A. Rashkovskii}, Arnold Math. J. 7, No. 3, 407--417 (2021; Zbl 07447004) Full Text: DOI arXiv OpenURL
Chen, Bin; Wang, Weidong; Zhao, Peibiao Shephard type problem for \(L_p\)-mixed Blaschke-Minkowski homomorphisms. (English) Zbl 07431346 Quaest. Math. 44, No. 9, 1219-1232 (2021). Reviewer: Lienhard Wimmer (Isny) MSC: 52A20 52A40 52A39 PDF BibTeX XML Cite \textit{B. Chen} et al., Quaest. Math. 44, No. 9, 1219--1232 (2021; Zbl 07431346) Full Text: DOI OpenURL
Ma, Tongyi; Wu, Denghui; Feng, Yibin \((p, q)\)-John ellipsoids. (English) Zbl 1477.52011 J. Geom. Anal. 31, No. 10, 9597-9632 (2021). Reviewer: Gabriela Cristescu (Arad) MSC: 52A39 52A40 PDF BibTeX XML Cite \textit{T. Ma} et al., J. Geom. Anal. 31, No. 10, 9597--9632 (2021; Zbl 1477.52011) Full Text: DOI OpenURL
Martinez-Maure, Yves Real and complex hedgehogs, their symplectic area, curvature and evolutes. (English) Zbl 1471.52003 J. Symplectic Geom. 19, No. 3, 567-606 (2021). MSC: 52A20 53A07 53D05 32A10 PDF BibTeX XML Cite \textit{Y. Martinez-Maure}, J. Symplectic Geom. 19, No. 3, 567--606 (2021; Zbl 1471.52003) Full Text: DOI OpenURL
Feng, Yibin; He, Binwu The Orlicz Aleksandrov problem for Orlicz integral curvature. (English) Zbl 07381625 Int. Math. Res. Not. 2021, No. 7, 5492-5519 (2021). MSC: 52A22 52A39 53C65 46E30 PDF BibTeX XML Cite \textit{Y. Feng} and \textit{B. He}, Int. Math. Res. Not. 2021, No. 7, 5492--5519 (2021; Zbl 07381625) Full Text: DOI OpenURL
Cao, Zhangyao; Liang, Junqi \({L_p}\) Brunn-Minkowski type inequalities for affine quermassintegrals. (Chinese. English summary) Zbl 1474.52008 Math. Pract. Theory 51, No. 2, 316-320 (2021). MSC: 52A40 26D15 PDF BibTeX XML Cite \textit{Z. Cao} and \textit{J. Liang}, Math. Pract. Theory 51, No. 2, 316--320 (2021; Zbl 1474.52008) OpenURL
Roysdon, Michael; Xing, Sudan On \(L_p\)-Brunn-Minkowski type and \(L_p\)-isoperimetric type inequalities for measures. (English) Zbl 1465.52021 Trans. Am. Math. Soc. 374, No. 7, 5003-5036 (2021). MSC: 52A39 52A40 28A75 PDF BibTeX XML Cite \textit{M. Roysdon} and \textit{S. Xing}, Trans. Am. Math. Soc. 374, No. 7, 5003--5036 (2021; Zbl 1465.52021) Full Text: DOI arXiv OpenURL
Juillet, Nicolas Sub-Riemannian structures do not satisfy Riemannian Brunn-Minkowski inequalities. (English) Zbl 1461.53020 Rev. Mat. Iberoam. 37, No. 1, 177-188 (2021). MSC: 53C17 53C22 28A75 28C10 49Q22 PDF BibTeX XML Cite \textit{N. Juillet}, Rev. Mat. Iberoam. 37, No. 1, 177--188 (2021; Zbl 1461.53020) Full Text: DOI arXiv OpenURL
Wei, Hongyu The polar \(\varphi\)-Brunn-Minkowski inequalities. (English) Zbl 1474.52012 Wuhan Univ. J. Nat. Sci. 25, No. 4, 293-300 (2020). MSC: 52A40 52A39 PDF BibTeX XML Cite \textit{H. Wei}, Wuhan Univ. J. Nat. Sci. 25, No. 4, 293--300 (2020; Zbl 1474.52012) Full Text: DOI OpenURL
Huang, Yong Geometric measures and Minkowski problems. (English) Zbl 1464.52005 Cheng, Shiu Yuen (ed.) et al., Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 361-380 (2020). Reviewer: Zsolt Lángi (Budapest) MSC: 52A38 35J20 PDF BibTeX XML Cite \textit{Y. Huang}, in: Proceedings of the international consortium of Chinese mathematicians, 2017. First meeting, Guangzhou, Guangdong, China, December 2017. Somerville, MA: International Press. 361--380 (2020; Zbl 1464.52005) OpenURL
Li, Jin Affine function-valued valuations. (English) Zbl 1459.52011 Int. Math. Res. Not. 2020, No. 22, 8197-8233 (2020). MSC: 52B45 PDF BibTeX XML Cite \textit{J. Li}, Int. Math. Res. Not. 2020, No. 22, 8197--8233 (2020; Zbl 1459.52011) Full Text: DOI arXiv OpenURL
Du, Zou; Ge, Xiong The \(L_p\) Minkowski problem for the electrostatic \(\mathfrak{p}\)-capacity. (English) Zbl 1453.31012 J. Differ. Geom. 116, No. 3, 555-596 (2020). MSC: 31B15 52A20 PDF BibTeX XML Cite \textit{Z. Du} and \textit{X. Ge}, J. Differ. Geom. 116, No. 3, 555--596 (2020; Zbl 1453.31012) Full Text: DOI Euclid OpenURL
Böröczky, Károly J.; Matolcsi, Máté; Ruzsa, Imre Z.; Santos, Francisco; Serra, Oriol Triangulations and a discrete Brunn-Minkowski inequality in the plane. (English) Zbl 1447.52002 Discrete Comput. Geom. 64, No. 2, 396-426 (2020). MSC: 52A10 52A40 PDF BibTeX XML Cite \textit{K. J. Böröczky} et al., Discrete Comput. Geom. 64, No. 2, 396--426 (2020; Zbl 1447.52002) Full Text: DOI arXiv OpenURL
Li, Yongtao; Feng, Lihua Extensions of Brunn-Minkowski’s inequality to multiple matrices. (English) Zbl 1453.15007 Linear Algebra Appl. 603, 91-100 (2020). Reviewer: Mojtaba Bakherad (Zahedan) MSC: 15A45 15A60 47B65 PDF BibTeX XML Cite \textit{Y. Li} and \textit{L. Feng}, Linear Algebra Appl. 603, 91--100 (2020; Zbl 1453.15007) Full Text: DOI arXiv OpenURL
Böröczky, Károly J.; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong; Zhao, Yiming The Gauss image problem. (English) Zbl 1456.52002 Commun. Pure Appl. Math. 73, No. 7, 1406-1452 (2020). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 52A20 PDF BibTeX XML Cite \textit{K. J. Böröczky} et al., Commun. Pure Appl. Math. 73, No. 7, 1406--1452 (2020; Zbl 1456.52002) Full Text: DOI OpenURL
Li, Ni; Zhu, Baocheng The Orlicz-Minkowski problem for torsional rigidity. (English) Zbl 1443.52006 J. Differ. Equations 269, No. 10, 8549-8572 (2020). Reviewer: George Stoica (Saint John) MSC: 52A40 52B45 52A39 PDF BibTeX XML Cite \textit{N. Li} and \textit{B. Zhu}, J. Differ. Equations 269, No. 10, 8549--8572 (2020; Zbl 1443.52006) Full Text: DOI OpenURL
Jin, Rongrong; Lu, Guangcun Representation formula for symmetrical symplectic capacity and applications. (English) Zbl 07207784 Discrete Contin. Dyn. Syst. 40, No. 8, 4705-4765 (2020). MSC: 53D35 53C23 70H05 37J05 57R17 PDF BibTeX XML Cite \textit{R. Jin} and \textit{G. Lu}, Discrete Contin. Dyn. Syst. 40, No. 8, 4705--4765 (2020; Zbl 07207784) Full Text: DOI arXiv OpenURL
Xing, Sudan; Ye, Deping On the general dual Orlicz-Minkowski problem. (English) Zbl 07197979 Indiana Univ. Math. J. 69, No. 2, 621-655 (2020). MSC: 52-XX 49-XX PDF BibTeX XML Cite \textit{S. Xing} and \textit{D. Ye}, Indiana Univ. Math. J. 69, No. 2, 621--655 (2020; Zbl 07197979) Full Text: DOI arXiv OpenURL
Luo, Xiaokang; Ye, Deping; Zhu, Baocheng On the polar Orlicz-Minkowski problems and the \(p\)-capacitary Orlicz-Petty bodies. (English) Zbl 07197973 Indiana Univ. Math. J. 69, No. 2, 385-420 (2020). MSC: 52A20 52A38 52A39 52A40 53A15 PDF BibTeX XML Cite \textit{X. Luo} et al., Indiana Univ. Math. J. 69, No. 2, 385--420 (2020; Zbl 07197973) Full Text: DOI arXiv OpenURL
Hou, Shaoxiong; Ye, Deping Orlicz addition for measures and an optimization problem for the \(f\)-divergence. (English) Zbl 1436.52009 Can. J. Math. 72, No. 2, 455-479 (2020). MSC: 52A41 26B25 28A25 60A10 94A15 94A17 PDF BibTeX XML Cite \textit{S. Hou} and \textit{D. Ye}, Can. J. Math. 72, No. 2, 455--479 (2020; Zbl 1436.52009) Full Text: DOI arXiv OpenURL
Crasta, Graziano; Fragalà, Ilaria The Brunn-Minkowski inequality for the principal eigenvalue of fully nonlinear homogeneous elliptic operators. (English) Zbl 1432.49031 Adv. Math. 359, Article ID 106855, 24 p. (2020). Reviewer: Petr Tomiczek (Plzeň) MSC: 49K20 49Q10 35J60 35P15 47J10 26A51 52A20 39B62 PDF BibTeX XML Cite \textit{G. Crasta} and \textit{I. Fragalà}, Adv. Math. 359, Article ID 106855, 24 p. (2020; Zbl 1432.49031) Full Text: DOI arXiv OpenURL
Zhao, Chang-Jian Orlicz mixed affine surface areas. (English) Zbl 1462.52014 Balkan J. Geom. Appl. 24, No. 2, 100-118 (2019). MSC: 52A39 52A40 46E30 PDF BibTeX XML Cite \textit{C.-J. Zhao}, Balkan J. Geom. Appl. 24, No. 2, 100--118 (2019; Zbl 1462.52014) Full Text: Link OpenURL
Tatarko, Kateryna; Werner, Elisabeth M. A Steiner formula in the \(L_p\) Brunn Minkowski theory. (English) Zbl 1423.52009 Adv. Math. 355, Article ID 106772, 27 p. (2019). MSC: 52A39 28A75 52A20 53A07 PDF BibTeX XML Cite \textit{K. Tatarko} and \textit{E. M. Werner}, Adv. Math. 355, Article ID 106772, 27 p. (2019; Zbl 1423.52009) Full Text: DOI arXiv OpenURL
Jin, Hailin Electrostatic capacity and measure of asymmetry. (English) Zbl 1441.52004 Proc. Am. Math. Soc. 147, No. 9, 4007-4019 (2019). Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.) MSC: 52A20 52A39 28A12 PDF BibTeX XML Cite \textit{H. Jin}, Proc. Am. Math. Soc. 147, No. 9, 4007--4019 (2019; Zbl 1441.52004) Full Text: DOI OpenURL
Cordero-Erausquin, Dario; Rashkovskii, Alexander Plurisubharmonic geodesics and interpolating sets. (English) Zbl 1429.32021 Arch. Math. 113, No. 1, 63-72 (2019). Reviewer: Rafał Czyz (Krakow) MSC: 32E30 32U05 32U15 32U20 52A20 52A38 52A40 PDF BibTeX XML Cite \textit{D. Cordero-Erausquin} and \textit{A. Rashkovskii}, Arch. Math. 113, No. 1, 63--72 (2019; Zbl 1429.32021) Full Text: DOI arXiv OpenURL
Lin, Youjiang Smoothness of the Steiner symmetrization of convex functions. (Chinese. English summary) Zbl 1424.52017 J. Northwest Norm. Univ., Nat. Sci. 54, No. 5, 25-27, 36 (2018). MSC: 52A41 PDF BibTeX XML Cite \textit{Y. Lin}, J. Northwest Norm. Univ., Nat. Sci. 54, No. 5, 25--27, 36 (2018; Zbl 1424.52017) Full Text: DOI OpenURL
Chen, Huayi On isoperimetric inequality in Arakelov geometry. (Sur l’inégalité isopérimétrique en géométrie d’Arakelov.) (English. French summary) Zbl 1435.14026 Bull. Soc. Math. Fr. 146, No. 4, 649-673 (2018). Reviewer: WonTae Hwang (Seoul) MSC: 14G40 11G30 PDF BibTeX XML Cite \textit{H. Chen}, Bull. Soc. Math. Fr. 146, No. 4, 649--673 (2018; Zbl 1435.14026) Full Text: DOI OpenURL
Lou, Yingying; Li, Aijun Asymmetric Orlicz difference bodies. (Chinese. English summary) Zbl 1424.52013 Chin. Ann. Math., Ser. A 39, No. 2, 153-162 (2018). MSC: 52A40 PDF BibTeX XML Cite \textit{Y. Lou} and \textit{A. Li}, Chin. Ann. Math., Ser. A 39, No. 2, 153--162 (2018; Zbl 1424.52013) Full Text: DOI OpenURL
Zhu, Baocheng; Xing, Sudan; Ye, Deping The dual Orlicz-Minkowski problem. (English) Zbl 1416.52009 J. Geom. Anal. 28, No. 4, 3829-3855 (2018). Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.) MSC: 52B45 52A39 PDF BibTeX XML Cite \textit{B. Zhu} et al., J. Geom. Anal. 28, No. 4, 3829--3855 (2018; Zbl 1416.52009) Full Text: DOI arXiv OpenURL
Zhao, Chang-Jian; Cheung, Wing Sum Orlicz dual Brunn-Minkowski theory: addition, dual quermassintegrals, and inequalities. (English) Zbl 1403.52006 Daras, Nicholas J. (ed.) et al., Modern discrete mathematics and analysis. With applications in cryptography, information systems and modeling. Cham: Springer (ISBN 978-3-319-74324-0/hbk; 978-3-319-74325-7/ebook). Springer Optimization and Its Applications 131, 11-37 (2018). MSC: 52A20 PDF BibTeX XML Cite \textit{C.-J. Zhao} and \textit{W. S. Cheung}, Springer Optim. Appl. 131, 11--37 (2018; Zbl 1403.52006) Full Text: DOI OpenURL
Zhao, Yiming Existence of solutions to the even dual Minkowski problem. (English) Zbl 1406.52017 J. Differ. Geom. 110, No. 3, 543-572 (2018). Reviewer: George Stoica (Saint John) MSC: 52A38 52A40 35J96 35J20 PDF BibTeX XML Cite \textit{Y. Zhao}, J. Differ. Geom. 110, No. 3, 543--572 (2018; Zbl 1406.52017) Full Text: DOI Euclid Link OpenURL
Lin, Youjiang Functional Blaschke-Santaló inequality. (Chinese. English summary) Zbl 1413.52013 J. Northwest Norm. Univ., Nat. Sci. 54, No. 3, 7-10 (2018). MSC: 52A40 PDF BibTeX XML Cite \textit{Y. Lin}, J. Northwest Norm. Univ., Nat. Sci. 54, No. 3, 7--10 (2018; Zbl 1413.52013) Full Text: DOI OpenURL
Böröczky, Károly J.; Henk, Martin; Pollehn, Hannes Subspace concentration of dual curvature measures of symmetric convex bodies. (English) Zbl 1397.52005 J. Differ. Geom. 109, No. 3, 411-429 (2018). Reviewer: Thomas Jahn (Chemnitz) MSC: 52A38 52A40 52A20 PDF BibTeX XML Cite \textit{K. J. Böröczky} et al., J. Differ. Geom. 109, No. 3, 411--429 (2018; Zbl 1397.52005) Full Text: DOI arXiv Euclid Link OpenURL
Wu, Denghui; Zhou, Jiazu The LYZ centroid conjecture for star bodies. (English) Zbl 1404.52006 Sci. China, Math. 61, No. 7, 1273-1286 (2018). Reviewer: Vladimir Golubyatnikov (Novosibirsk) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{D. Wu} and \textit{J. Zhou}, Sci. China, Math. 61, No. 7, 1273--1286 (2018; Zbl 1404.52006) Full Text: DOI OpenURL
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong \(L_{p}\) dual curvature measures. (English) Zbl 1388.52003 Adv. Math. 329, 85-132 (2018). Reviewer: George Stoica (Saint John) MSC: 52A40 PDF BibTeX XML Cite \textit{E. Lutwak} et al., Adv. Math. 329, 85--132 (2018; Zbl 1388.52003) Full Text: DOI OpenURL
Hong, Han; Ye, Deping; Zhang, Ning The \(p\)-capacitary Orlicz-Hadamard variational formula and Orlicz-Minkowski problems. (English) Zbl 1384.52003 Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 5, 31 p. (2018). MSC: 52A40 52A20 52A39 31B15 35J60 53A15 PDF BibTeX XML Cite \textit{H. Hong} et al., Calc. Var. Partial Differ. Equ. 57, No. 1, Paper No. 5, 31 p. (2018; Zbl 1384.52003) Full Text: DOI arXiv OpenURL
Henk, Martin; Pollehn, Hannes Necessary subspace concentration conditions for the even dual Minkowski problem. (English) Zbl 1383.52008 Adv. Math. 323, 114-141 (2018). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 52A40 52A38 PDF BibTeX XML Cite \textit{M. Henk} and \textit{H. Pollehn}, Adv. Math. 323, 114--141 (2018; Zbl 1383.52008) Full Text: DOI arXiv OpenURL
Marsiglietti, Arnaud Borell’s generalized Prékopa-Leindler inequality: a simple proof. (English) Zbl 1387.28005 J. Convex Anal. 24, No. 3, 807-817 (2017). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 52A40 PDF BibTeX XML Cite \textit{A. Marsiglietti}, J. Convex Anal. 24, No. 3, 807--817 (2017; Zbl 1387.28005) Full Text: arXiv Link OpenURL
Rashkovskii, Alexander Copolar convexity. (English) Zbl 1391.32053 Ann. Pol. Math. 120, No. 1, 83-95 (2017). MSC: 32U15 32U20 52A20 52A39 PDF BibTeX XML Cite \textit{A. Rashkovskii}, Ann. Pol. Math. 120, No. 1, 83--95 (2017; Zbl 1391.32053) Full Text: DOI arXiv OpenURL
Figalli, Alessio; Jerison, David Quantitative stability of the Brunn-Minkowski inequality for sets of equal volume. (English) Zbl 1369.49065 Chin. Ann. Math., Ser. B 38, No. 2, 393-412 (2017). Reviewer: Andrew Bucki (Edmond) MSC: 49Q20 52A40 52A20 11P70 PDF BibTeX XML Cite \textit{A. Figalli} and \textit{D. Jerison}, Chin. Ann. Math., Ser. B 38, No. 2, 393--412 (2017; Zbl 1369.49065) Full Text: DOI OpenURL
Berndtsson, Bo Real and complex Brunn-Minkowski theory. (English) Zbl 1362.32007 Berhanu, Shiferaw (ed.) et al., Analysis and geometry in several complex variables. Workshop on analysis and geometry in several complex variables, Texas A&M University at Qatar, Doha, Qatar, January 4–8, 2015. Proceedings. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2255-4/pbk; 978-1-4704-3663-6/ebook). Contemporary Mathematics 681, 1-27 (2017). MSC: 32A36 52A99 32F99 32-02 PDF BibTeX XML Cite \textit{B. Berndtsson}, Contemp. Math. 681, 1--27 (2017; Zbl 1362.32007) Full Text: DOI OpenURL
Boulkhemair, A. On a shape derivative formula in the Brunn-Minkowski theory. (English) Zbl 1384.49033 SIAM J. Control Optim. 55, No. 1, 156-171 (2017). Reviewer: Manuel Ritoré (Granada) MSC: 49Q10 PDF BibTeX XML Cite \textit{A. Boulkhemair}, SIAM J. Control Optim. 55, No. 1, 156--171 (2017; Zbl 1384.49033) Full Text: DOI OpenURL
Hu, Yaozhong Analysis on Gaussian spaces. (English) Zbl 1386.60005 Hackensack, NJ: World Scientific (ISBN 978-981-3142-17-6/hbk; 978-981-3142-19-0/ebook). xi, 470 p. (2017). Reviewer: René L. Schilling (Dresden) MSC: 60-02 28C20 46E35 46N30 60G15 60H07 60H10 60H35 65C30 PDF BibTeX XML Cite \textit{Y. Hu}, Analysis on Gaussian spaces. Hackensack, NJ: World Scientific (2017; Zbl 1386.60005) Full Text: DOI OpenURL
Caglar, Umut; Ye, Deping Affine isoperimetric inequalities in the functional Orlicz-Brunn-Minkowski theory. (English) Zbl 1357.52001 Adv. Appl. Math. 81, 78-114 (2016). Reviewer: George Stoica (Saint John) MSC: 52A20 53A15 PDF BibTeX XML Cite \textit{U. Caglar} and \textit{D. Ye}, Adv. Appl. Math. 81, 78--114 (2016; Zbl 1357.52001) Full Text: DOI arXiv OpenURL
Huang, Yong; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Geometric measures in the dual Brunn-Minkowski theory and their associated Minkowski problems. (English) Zbl 1372.52007 Acta Math. 216, No. 2, 325-388 (2016). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A38 35J20 52A40 PDF BibTeX XML Cite \textit{Y. Huang} et al., Acta Math. 216, No. 2, 325--388 (2016; Zbl 1372.52007) Full Text: DOI OpenURL
Zou, Du; Xiong, Ge Orlicz-Legendre ellipsoids. (English) Zbl 1369.52015 J. Geom. Anal. 26, No. 3, 2474-2502 (2016). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 PDF BibTeX XML Cite \textit{D. Zou} and \textit{G. Xiong}, J. Geom. Anal. 26, No. 3, 2474--2502 (2016; Zbl 1369.52015) Full Text: DOI OpenURL
Ye, Deping Dual Orlicz-Brunn-Minkowski theory: dual Orlicz \(L_{\phi}\) affine and geominimal surface areas. (English) Zbl 1355.52003 J. Math. Anal. Appl. 443, No. 1, 352-371 (2016). Reviewer: Yurii G. Nikonorov (Volgodonsk) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{D. Ye}, J. Math. Anal. Appl. 443, No. 1, 352--371 (2016; Zbl 1355.52003) Full Text: DOI arXiv OpenURL
Yan, Yanxiong; Zhang, Liangcai; Zhou, Min New inequalities for star bodies. (English) Zbl 1347.52010 J. Inequal. Appl. 2016, Paper No. 145, 8 p. (2016). Reviewer: Guangxian Zhu (New York) MSC: 52A40 52A20 52A39 PDF BibTeX XML Cite \textit{Y. Yan} et al., J. Inequal. Appl. 2016, Paper No. 145, 8 p. (2016; Zbl 1347.52010) Full Text: DOI OpenURL
Dulio, Paolo; Gardner, Richard; Peri, Carla Characterizing the dual mixed volume via additive functionals. (English) Zbl 1352.52008 Indiana Univ. Math. J. 65, No. 1, 69-91 (2016). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52A39 52A20 52A30 52A41 PDF BibTeX XML Cite \textit{P. Dulio} et al., Indiana Univ. Math. J. 65, No. 1, 69--91 (2016; Zbl 1352.52008) Full Text: DOI arXiv Link OpenURL
Caglar, Umut; Fradelizi, Matthieu; Guédon, Olivier; Lehec, Joseph; Schütt, Carsten; Werner, Elisabeth M. Functional versions of \(L_{p}\)-affine surface area and entropy inequalities. (English) Zbl 1337.52008 Int. Math. Res. Not. 2016, No. 4, 1223-1250 (2016). Reviewer: Sorin-Mihai Grad (Chemnitz) MSC: 52A23 52A30 52A40 51B20 PDF BibTeX XML Cite \textit{U. Caglar} et al., Int. Math. Res. Not. 2016, No. 4, 1223--1250 (2016; Zbl 1337.52008) Full Text: DOI arXiv OpenURL
Marsiglietti, Arnaud On the improvement of concavity of convex measures. (English) Zbl 1334.28007 Proc. Am. Math. Soc. 144, No. 2, 775-786 (2016). Reviewer: Boris A. Kats (Kazan) MSC: 28A75 52A20 52A40 60G15 PDF BibTeX XML Cite \textit{A. Marsiglietti}, Proc. Am. Math. Soc. 144, No. 2, 775--786 (2016; Zbl 1334.28007) Full Text: DOI arXiv OpenURL
Figalli, Alessio Stability results for the Brunn-Minkowski inequality. (English) Zbl 1346.49068 Zannier, Umberto (ed.), Colloquium De Giorgi 2013 and 2014. Lectures from the colloquium, Scuola Normale Superiore, Pisa, Italy, 2013 and 2014. Pisa: Edizioni della Normale (ISBN 978-88-7642-514-1/pbk). Colloquia 5, 119-127 (2015). MSC: 49Q10 28A75 PDF BibTeX XML Cite \textit{A. Figalli}, Colloquia 5, 119--127 (2015; Zbl 1346.49068) Full Text: DOI OpenURL
Ma, Tongyi; Feng, Yibin The \(i\)th \(p\)-affine surface area. (English) Zbl 1335.52019 J. Inequal. Appl. 2015, Paper No. 187, 26 p. (2015). MSC: 52A30 52A40 PDF BibTeX XML Cite \textit{T. Ma} and \textit{Y. Feng}, J. Inequal. Appl. 2015, Paper No. 187, 26 p. (2015; Zbl 1335.52019) Full Text: DOI OpenURL
Martinez-Maure, Yves Hedgehog theory via Euler calculus. (English) Zbl 1335.52020 Beitr. Algebra Geom. 56, No. 2, 397-421 (2015). Reviewer: Judit Abardia (Frankfurt a. M.) MSC: 52A30 52A20 52A39 53C65 28E99 PDF BibTeX XML Cite \textit{Y. Martinez-Maure}, Beitr. Algebra Geom. 56, No. 2, 397--421 (2015; Zbl 1335.52020) Full Text: DOI Link OpenURL
Zhao, Chang-Jian Orlicz dual mixed volumes. (English) Zbl 1329.52008 Result. Math. 68, No. 1-2, 93-104 (2015). Reviewer: Guangxian Zhu (New York) MSC: 52A39 46E30 52A30 52A40 PDF BibTeX XML Cite \textit{C.-J. Zhao}, Result. Math. 68, No. 1--2, 93--104 (2015; Zbl 1329.52008) Full Text: DOI OpenURL
Li, Deyi; Zou, Du; Xiong, Ge Orlicz mixed affine quermassintegrals. (English) Zbl 1327.52011 Sci. China, Math. 58, No. 8, 1715-1722 (2015). MSC: 52A39 53C65 PDF BibTeX XML Cite \textit{D. Li} et al., Sci. China, Math. 58, No. 8, 1715--1722 (2015; Zbl 1327.52011) Full Text: DOI OpenURL
Marsiglietti, Arnaud A note on an \(L^p\)-Brunn-Minkowski inequality for convex measures in the unconditional case. (English) Zbl 1396.52015 Pac. J. Math. 277, No. 1, 187-200 (2015). MSC: 52A40 28A75 60B11 PDF BibTeX XML Cite \textit{A. Marsiglietti}, Pac. J. Math. 277, No. 1, 187--200 (2015; Zbl 1396.52015) Full Text: DOI arXiv OpenURL
Nguyen, Van Hoang Improved \(L_p\)-mixed volume inequality for convex bodies. (English) Zbl 1322.52009 J. Math. Anal. Appl. 431, No. 2, 1045-1053 (2015). MSC: 52A40 PDF BibTeX XML Cite \textit{V. H. Nguyen}, J. Math. Anal. Appl. 431, No. 2, 1045--1053 (2015; Zbl 1322.52009) Full Text: DOI arXiv OpenURL
Saroglou, Christos Remarks on the conjectured log-Brunn-Minkowski inequality. (English) Zbl 1326.52010 Geom. Dedicata 177, 353-365 (2015). Reviewer: Guangxian Zhu (New York) MSC: 52A40 52A39 52A20 PDF BibTeX XML Cite \textit{C. Saroglou}, Geom. Dedicata 177, 353--365 (2015; Zbl 1326.52010) Full Text: DOI arXiv OpenURL
Artstein-Avidan, Shiri; Giannopoulos, Apostolos; Milman, Vitali D. Asymptotic geometric analysis. I. (English) Zbl 1337.52001 Mathematical Surveys and Monographs 202. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2193-9/hbk). xix, 451 p. (2015). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52-02 52A20 52A21 52A23 46B20 46B09 60D05 PDF BibTeX XML Cite \textit{S. Artstein-Avidan} et al., Asymptotic geometric analysis. I. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1337.52001) Full Text: DOI OpenURL
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping The dual Orlicz-Brunn-Minkowski theory. (English) Zbl 1320.52008 J. Math. Anal. Appl. 430, No. 2, 810-829 (2015). MSC: 52A40 PDF BibTeX XML Cite \textit{R. J. Gardner} et al., J. Math. Anal. Appl. 430, No. 2, 810--829 (2015; Zbl 1320.52008) Full Text: DOI arXiv OpenURL
Ye, Deping New Orlicz affine isoperimetric inequalities. (English) Zbl 1316.52014 J. Math. Anal. Appl. 427, No. 2, 905-929 (2015). MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{D. Ye}, J. Math. Anal. Appl. 427, No. 2, 905--929 (2015; Zbl 1316.52014) Full Text: DOI arXiv OpenURL
Li, Jin; Yuan, Shufeng; Leng, Gangsong \(L_{p}\)-Blaschke valuations. (English) Zbl 1327.52025 Trans. Am. Math. Soc. 367, No. 5, 3161-3187 (2015). Reviewer: Christian Richter (Jena) MSC: 52B45 52A20 PDF BibTeX XML Cite \textit{J. Li} et al., Trans. Am. Math. Soc. 367, No. 5, 3161--3187 (2015; Zbl 1327.52025) Full Text: DOI arXiv OpenURL
Böröczky, Károly jun.; Hoffman, Benjamin A note on triangulations of sumsets. (English) Zbl 1310.11014 Involve 8, No. 1, 75-85 (2015). MSC: 11B30 11B75 52C05 PDF BibTeX XML Cite \textit{K. Böröczky jun.} and \textit{B. Hoffman}, Involve 8, No. 1, 75--85 (2015; Zbl 1310.11014) Full Text: DOI arXiv OpenURL
Taschuk, Steven The harmonic mean measure of symmetry for convex bodies. (English) Zbl 1305.52010 Adv. Geom. 15, No. 1, 109-120 (2015). MSC: 52A20 PDF BibTeX XML Cite \textit{S. Taschuk}, Adv. Geom. 15, No. 1, 109--120 (2015; Zbl 1305.52010) Full Text: DOI OpenURL
Guo, Lujun; Leng, Gangsong; Du, Changmin The Orlicz mean zonoid operator. (English) Zbl 1318.52006 J. Math. Anal. Appl. 424, No. 2, 1261-1271 (2015). Reviewer: Monika Ludwig (Wien) MSC: 52A21 52A20 PDF BibTeX XML Cite \textit{L. Guo} et al., J. Math. Anal. Appl. 424, No. 2, 1261--1271 (2015; Zbl 1318.52006) Full Text: DOI OpenURL
Zou, Du; Xiong, Ge The minimal Orlicz surface area. (English) Zbl 1376.52017 Adv. Appl. Math. 61, 25-45 (2014). MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{D. Zou} and \textit{G. Xiong}, Adv. Appl. Math. 61, 25--45 (2014; Zbl 1376.52017) Full Text: DOI OpenURL
Ma, Tongyi The \(i\)th \(p\)-geominimal surface area. (English) Zbl 1335.52018 J. Inequal. Appl. 2014, Paper No. 356, 26 p. (2014). Reviewer: Guangxian Zhu (New York) MSC: 52A30 52A40 PDF BibTeX XML Cite \textit{T. Ma}, J. Inequal. Appl. 2014, Paper No. 356, 26 p. (2014; Zbl 1335.52018) Full Text: DOI OpenURL
Zhao, Changjian On the Marcus-Lopes inequalities for dual quermassintegrals. (Chinese. English summary) Zbl 1324.52006 Chin. Ann. Math., Ser. A 35, No. 4, 501-510 (2014). MSC: 52A30 52A40 PDF BibTeX XML Cite \textit{C. Zhao}, Chin. Ann. Math., Ser. A 35, No. 4, 501--510 (2014; Zbl 1324.52006) OpenURL
Eldan, Ronen; Klartag, Bo’az Dimensionality and the stability of the Brunn-Minkowski inequality. (English) Zbl 1317.52003 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 4, 975-1007 (2014). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A23 52A38 52A40 PDF BibTeX XML Cite \textit{R. Eldan} and \textit{B. Klartag}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 13, No. 4, 975--1007 (2014; Zbl 1317.52003) Full Text: DOI arXiv OpenURL
Ober, Michael \(L_p\)-Minkowski valuations on \(L^q\)-spaces. (English) Zbl 1331.52022 J. Math. Anal. Appl. 414, No. 1, 68-87 (2014). Reviewer: Christian Richter (Jena) MSC: 52B45 46E30 52A20 PDF BibTeX XML Cite \textit{M. Ober}, J. Math. Anal. Appl. 414, No. 1, 68--87 (2014; Zbl 1331.52022) Full Text: DOI OpenURL
Ge, Xiong; Du, Zou Orlicz mixed quermassintegrals. (English) Zbl 1328.52003 Sci. China, Math. 57, No. 12, 2549-2562 (2014). Reviewer: Horst Martini (Chemnitz) MSC: 52A39 52A40 52A22 PDF BibTeX XML Cite \textit{X. Ge} and \textit{Z. Du}, Sci. China, Math. 57, No. 12, 2549--2562 (2014; Zbl 1328.52003) Full Text: DOI OpenURL
Ye, Deping On the monotone properties of general affine surfaces under the Steiner symmetrization. (English) Zbl 1317.52009 Indiana Univ. Math. J. 63, No. 1, 1-19 (2014). Reviewer: Friedrich Manhart (Wien) MSC: 52A20 53A15 PDF BibTeX XML Cite \textit{D. Ye}, Indiana Univ. Math. J. 63, No. 1, 1--19 (2014; Zbl 1317.52009) Full Text: DOI arXiv Link OpenURL
Kaveh, Kiumars; Khovanskii, Askold Convex bodies and multiplicities of ideals. (English) Zbl 1315.13013 Proc. Steklov Inst. Math. 286, 268-284 (2014) and Tr. Mat. Inst. Steklova 286, 291-307 (2014). Reviewer: Marcel Morales (Saint-Martin-d’Hères) MSC: 13A18 13D40 13F55 14M25 13D10 PDF BibTeX XML Cite \textit{K. Kaveh} and \textit{A. Khovanskii}, Proc. Steklov Inst. Math. 286, 268--284 (2014; Zbl 1315.13013) Full Text: DOI arXiv OpenURL
Du, Changmin; Leng, Gangsong; Xi, Dongmeng Volume inequalities for Orlicz mean zonoids. (English) Zbl 1319.52011 Math. Inequal. Appl. 17, No. 4, 1529-1541 (2014). Reviewer: Alexander Esterov (Moscow) MSC: 52A40 52A20 52A38 PDF BibTeX XML Cite \textit{C. Du} et al., Math. Inequal. Appl. 17, No. 4, 1529--1541 (2014; Zbl 1319.52011) Full Text: DOI OpenURL
Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín A characterization of some mixed volumes via the Brunn-Minkowski inequality. (English) Zbl 1404.52003 J. Geom. Anal. 24, No. 2, 1064-1091 (2014). MSC: 52A20 52A39 52A40 26D10 26D15 49Q20 PDF BibTeX XML Cite \textit{A. Colesanti} et al., J. Geom. Anal. 24, No. 2, 1064--1091 (2014; Zbl 1404.52003) Full Text: DOI arXiv OpenURL
Zou, Du; Xiong, Ge Orlicz-John ellipsoids. (English) Zbl 1301.52015 Adv. Math. 265, 132-168 (2014). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52A40 PDF BibTeX XML Cite \textit{D. Zou} and \textit{G. Xiong}, Adv. Math. 265, 132--168 (2014; Zbl 1301.52015) Full Text: DOI arXiv OpenURL
Zhu, Baocheng; Zhou, Jiazu; Xu, Wenxue Dual Orlicz-Brunn-Minkowski theory. (English) Zbl 1307.52004 Adv. Math. 264, 700-725 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 52A40 53A15 PDF BibTeX XML Cite \textit{B. Zhu} et al., Adv. Math. 264, 700--725 (2014; Zbl 1307.52004) Full Text: DOI OpenURL
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. (English) Zbl 1303.52002 J. Differ. Geom. 97, No. 3, 427-476 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 52A30 52A40 52A41 52A39 PDF BibTeX XML Cite \textit{R. J. Gardner} et al., J. Differ. Geom. 97, No. 3, 427--476 (2014; Zbl 1303.52002) Full Text: DOI arXiv Euclid OpenURL
Haberl, Christoph; Parapatits, Lukas Valuations and surface area measures. (English) Zbl 1295.52018 J. Reine Angew. Math. 687, 225-245 (2014). Reviewer: Christian Richter (Jena) MSC: 52B45 28A75 51M25 52A38 PDF BibTeX XML Cite \textit{C. Haberl} and \textit{L. Parapatits}, J. Reine Angew. Math. 687, 225--245 (2014; Zbl 1295.52018) Full Text: DOI arXiv OpenURL
Bernig, Andreas The isoperimetrix in the dual Brunn-Minkowski theory. (English) Zbl 1291.52007 Adv. Math. 254, 1-14 (2014). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A38 52A40 53C60 PDF BibTeX XML Cite \textit{A. Bernig}, Adv. Math. 254, 1--14 (2014; Zbl 1291.52007) Full Text: DOI arXiv OpenURL
Paouris, Grigoris; Werner, Elisabeth M. On the approximation of a polytope by its dual \(L_{p}\)-centroid bodies. (English) Zbl 1288.52002 Indiana Univ. Math. J. 62, No. 1, 235-248 (2013). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 53A15 52A27 PDF BibTeX XML Cite \textit{G. Paouris} and \textit{E. M. Werner}, Indiana Univ. Math. J. 62, No. 1, 235--248 (2013; Zbl 1288.52002) Full Text: DOI arXiv Link OpenURL
Wang, Wei; He, Rigao Inequalities for mixed complex projection bodies. (English) Zbl 1287.52008 Taiwanese J. Math. 17, No. 6, 1887-1899 (2013). Reviewer: Horst Martini (Chemnitz) MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{W. Wang} and \textit{R. He}, Taiwanese J. Math. 17, No. 6, 1887--1899 (2013; Zbl 1287.52008) Full Text: DOI OpenURL
Weberndorfer, Manuel Shadow systems of asymmetric \(L_p\) zonotopes. (English) Zbl 1296.52008 Adv. Math. 240, 613-635 (2013). Reviewer: Gabriela Cristescu (Arad) MSC: 52A40 PDF BibTeX XML Cite \textit{M. Weberndorfer}, Adv. Math. 240, 613--635 (2013; Zbl 1296.52008) Full Text: DOI OpenURL
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang Operations between sets in geometry. (English) Zbl 1282.52006 J. Eur. Math. Soc. (JEMS) 15, No. 6, 2297-2352 (2013). MSC: 52A20 52A30 39B22 52A39 52A41 PDF BibTeX XML Cite \textit{R. J. Gardner} et al., J. Eur. Math. Soc. (JEMS) 15, No. 6, 2297--2352 (2013; Zbl 1282.52006) Full Text: DOI arXiv OpenURL
Fillastre, François Fuchsian convex bodies: basics of Brunn-Minkowski theory. (English) Zbl 1271.52009 Geom. Funct. Anal. 23, No. 1, 295-333 (2013). MSC: 52A55 PDF BibTeX XML Cite \textit{F. Fillastre}, Geom. Funct. Anal. 23, No. 1, 295--333 (2013; Zbl 1271.52009) Full Text: DOI arXiv OpenURL
Stancu, Alina Some affine invariants revisited. (English) Zbl 1276.52011 Ludwig, Monika (ed.) et al., Asymptotic geometric analysis. Proceedings of the fall 2010 Fields Institute thematic program. New York, NY: Springer; Toronto: The Fields Institute for Research in the Mathematical Sciences (ISBN 978-1-4614-6405-1/hbk; 978-1-4614-6406-8/ebook). Fields Institute Communications 68, 341-357 (2013). Reviewer: Monika Nowicka (Bydgoszcz) MSC: 52A40 52A38 52A20 53A07 PDF BibTeX XML Cite \textit{A. Stancu}, Fields Inst. Commun. 68, 341--357 (2013; Zbl 1276.52011) Full Text: DOI arXiv Link OpenURL
Freiman, G. A.; Grynkiewicz, D.; Serra, O.; Stanchescu, Y. V. Inverse additive problems for Minkowski sumsets. II. (English) Zbl 1273.52004 J. Geom. Anal. 23, No. 1, 395-414 (2013). Reviewer: Peter M. Gruber (Wien) MSC: 52A20 52A40 11P70 11B13 26B25 PDF BibTeX XML Cite \textit{G. A. Freiman} et al., J. Geom. Anal. 23, No. 1, 395--414 (2013; Zbl 1273.52004) Full Text: DOI arXiv OpenURL
Böröczky, Károly jun.; Serra, Oriol Remarks on the equality case of the Bonnesen inequality. (English) Zbl 1259.52004 Arch. Math. 99, No. 2, 189-199 (2012). Reviewer: Peter M. Gruber (Wien) MSC: 52A40 52A20 52A38 11P70 PDF BibTeX XML Cite \textit{K. Böröczky jun.} and \textit{O. Serra}, Arch. Math. 99, No. 2, 189--199 (2012; Zbl 1259.52004) Full Text: DOI arXiv OpenURL
Kaveh, Kiumars; Khovanskii, Askold Algebraic equations and convex bodies. (English) Zbl 1316.52011 Itenberg, Ilia (ed.) et al., Perspectives in analysis, geometry, and topology. On the occasion of the 60th birthday of Oleg Viro. Based on the Marcus Wallenberg symposium on perspectives in analysis, geometry, and topology, Stockholm, Sweden, May 19–25, 2008. Basel: Birkhäuser (ISBN 978-0-8176-8276-7/hbk; 978-0-8176-8277-4/ebook). Progress in Mathematics 296, 263-282 (2012). MSC: 52A39 14M25 52B20 52B11 52B12 PDF BibTeX XML Cite \textit{K. Kaveh} and \textit{A. Khovanskii}, Prog. Math. 296, 263--282 (2012; Zbl 1316.52011) Full Text: DOI arXiv OpenURL
Bobkov, Sergey; Madiman, Mokshay; Wang, Liyao Fractional generalizations of Young and Brunn-Minkowski inequalities. (English) Zbl 1235.46033 Houdré, Christian (ed.) et al., Concentration, functional inequalities and isoperimetry. Mainly the proceedings of the international workshop on concentration, functional inequalities and isoperimetry, Florida Atlantic University, Boca Raton, FL, USA, October 29–November 1, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4971-2/pbk). Contemporary Mathematics 545, 35-53 (2011). MSC: 46E30 52A39 46N30 60F15 PDF BibTeX XML Cite \textit{S. Bobkov} et al., Contemp. Math. 545, 35--53 (2011; Zbl 1235.46033) Full Text: arXiv OpenURL
Ma, Tong-Yi; Wang, Wei-Dong On the analog of Shephard problem for the \(L_{p}\)-projection body. (English) Zbl 1218.52006 Math. Inequal. Appl. 14, No. 1, Article ID 15, 181-192 (2011). Reviewer: A. E. Litvak (Edmonton) MSC: 52A20 52A23 52A30 PDF BibTeX XML Cite \textit{T.-Y. Ma} and \textit{W.-D. Wang}, Math. Inequal. Appl. 14, No. 1, Article ID 15, 181--192 (2011; Zbl 1218.52006) Full Text: DOI OpenURL
Hernández Cifre, María Á. The hidden geometry in the zeroes of the Steiner polynomial. (Spanish) Zbl 1230.52001 Gac. R. Soc. Mat. Esp. 13, No. 2, 265-281 (2010). Reviewer: R. W. van der Waall (Huizen) MSC: 52-03 01A55 01A65 01A60 52A39 52A38 52A30 26C10 30C15 PDF BibTeX XML Cite \textit{M. Á. Hernández Cifre}, Gac. R. Soc. Mat. Esp. 13, No. 2, 265--281 (2010; Zbl 1230.52001) OpenURL
Alon, Noga; Feldheim, Ohad N. The Brunn-Minkowski inequality and nontrivial cycles in the discrete torus. (English) Zbl 1223.05128 SIAM J. Discrete Math. 24, No. 3, 892-894 (2010). MSC: 05C35 05C38 05C40 PDF BibTeX XML Cite \textit{N. Alon} and \textit{O. N. Feldheim}, SIAM J. Discrete Math. 24, No. 3, 892--894 (2010; Zbl 1223.05128) Full Text: DOI OpenURL
Pietsch, Albrecht Erhard Schmidt and his contributions to functional analysis. (English) Zbl 1185.01038 Math. Nachr. 283, No. 1, 6-20 (2010). Reviewer: Werner H. Schmidt (Greifswald) MSC: 01A60 45-03 46-03 47-03 52-03 PDF BibTeX XML Cite \textit{A. Pietsch}, Math. Nachr. 283, No. 1, 6--20 (2010; Zbl 1185.01038) Full Text: DOI OpenURL
Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Orlicz projection bodies. (English) Zbl 1437.52006 Adv. Math. 223, No. 1, 220-242 (2010). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A40 PDF BibTeX XML Cite \textit{E. Lutwak} et al., Adv. Math. 223, No. 1, 220--242 (2010; Zbl 1437.52006) Full Text: DOI OpenURL
Cianchi, Andrea; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong Affine Moser-Trudinger and Morrey-Sobolev inequalities. (English) Zbl 1202.26029 Calc. Var. Partial Differ. Equ. 36, No. 3, 419-436 (2009). Reviewer: Wing-Sum Cheung (Hong Kong) MSC: 26D10 46E30 46E35 52A20 PDF BibTeX XML Cite \textit{A. Cianchi} et al., Calc. Var. Partial Differ. Equ. 36, No. 3, 419--436 (2009; Zbl 1202.26029) Full Text: DOI OpenURL
Haberl, Christoph; Schuster, Franz E. General \(L_{p}\) affine isoperimetric inequalities. (English) Zbl 1185.52005 J. Differ. Geom. 83, No. 1, 1-26 (2009). Reviewer: Monika Ludwig (Brooklyn) MSC: 52A40 52A20 PDF BibTeX XML Cite \textit{C. Haberl} and \textit{F. E. Schuster}, J. Differ. Geom. 83, No. 1, 1--26 (2009; Zbl 1185.52005) Full Text: DOI arXiv Link OpenURL
Bianchini, Chiara; Colesanti, Andrea A sharp Rogers and Shephard inequality for the \(p\)-difference body of planar convex bodies. (English) Zbl 1143.52008 Proc. Am. Math. Soc. 136, No. 7, 2575-2582 (2008). Reviewer: Salvador Gomis (Alicante) MSC: 52A40 52A10 52A39 PDF BibTeX XML Cite \textit{C. Bianchini} and \textit{A. Colesanti}, Proc. Am. Math. Soc. 136, No. 7, 2575--2582 (2008; Zbl 1143.52008) Full Text: DOI arXiv OpenURL