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Inequalities on Complex L_(p) Centroid Bodies

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摘要 Based on the notion of the complex L_(p)centroid body,we establish Brunn-Minkowski type inequalities and monotonicity inequalities for complex L_(p)centroid bodies in this article.Moreover,we obtain the affirmative form of Shephard type problem for the complex L_(p)centroid bodies and its negative form.
出处 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2022年第1期42-48,共7页 武汉大学学报(自然科学英文版)
基金 Supported by the National Natural Science Foundation of China(11901346)
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  • 1王卫东,冷岗松.联系投影不等式Petty猜想的L_p-形式的不等式[J].应用数学和力学,2007,28(2):245-252. 被引量:6
  • 2Wei Dong WANG,Gang Song LENG.The Petty Projection Inequality for L_p-Mixed Projection Bodies[J].Acta Mathematica Sinica,English Series,2007,23(8):1485-1494. 被引量:12
  • 3Lutwak E,Yang D,Zhang G.Orlicz centroid bodies[J].J.Differential Geom.,2010,84: 365-387.
  • 4Lutwak E,Yang D,Zhang G.Orlicz projection bodies[J].Adv.Math.,2010,223:220-242.
  • 5Lutwak E.The Brunn-Minkowski-Firey theory.I.Mixed volumes and the Minkowski problem [J].J.Differential Geom.,1993,38:131-150.
  • 6Lutwak E.The Brunn-Minkowski-Firey theory.Ⅱ.Affine and geominimal surface areas[J]. Adv.Math.,1996,118:244-294.
  • 7Petty C M.Centroid surfaces[J].Pacific J.Math.,1961,11:1535-1547.
  • 8Lutwak E,Yang D,Zhang G.Lp affine isoperimetric inequalities[J].J.Differential Geom., 2000,56:111-132.
  • 9Campi S,Gronchi P.The Lp-Busemann-Petty centroid inequality[J].Adv.Math.,2002,167: 128-141.
  • 10Campi S,Gronchi P.On the reverse Lp-Busemann-Petty centroid inequality[J].Mathamatika, 2002,49:1-11.

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