资源描述:
《Orlicz Brunn-Minkowski理论中的仿射极值问题.pdf》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、¥¥¥ããã©©©aaaÒÒÒµµµO186üüüèèèµµµ10280???µµµúúúmmmÆÆÆÒÒÒµµµ12820137ÆÆƬ¬¬ÆÆÆØØØ©©©SHANGHAIUNIVERSITYDOCTORALDISSERTATIONKKKOrliczBrunn-MinkowskinnnØØØ888¥¥¥444¯¯¯KKKöööqqqÑÑÑÆÆÆ;;;ÄÄÄ:::êêêÆÆÆ===ÇÇǤ¤¤FFFÏÏÏ2015ccc3þ°ÆØ©²F¬N"§(@ÎÜþ°ÆƬÆØ©þ¦
2、"F¬¶:ÌR:::FFÏ:þ°ÆƬÆØ©MMM555(((²²²<(²µ¤¥Ø©´<3e?1ïÄó"Ø©¥AO±I5Ú/§Ø©¥Ø¹Ù¦<®uL½>LïĤJ"ëÓóÙ¦ÓéïĤ?Û zþ®3Ø©¥²(`²¿L«¿"¶µFϵØØØ©©©¦¦¦^^^ÇÇÇ```²²²<)þ°Æk'3!¦^ÆØ©5½"=µÆk3Ø©9xØ©E<§#NØ©Ú/¶Æ±úÙةܽܩSN"£ØØØ©©©333))) AAAÅ
3、ÅÅddd555½½½¤¤¤\¶¶¶µµµ\¶¶¶µµµFFFÏÏϵµµþ°ÆnÆƬÆØ©OrliczBrunn-MinkowskinnnØØØ¥¥¥444¯¯¯KKKöµqѵ=ÇÆ;µÄ:êÆnÆþ°Æ2015c3ADissertationSubmittedtoShanghaiUniversityfortheDegreeofDoctorinScienceAffineExtremumProblemsintheOrliczBrunn-MinkowskiTheoryCandidat
4、e:DuZouSupervisor:Prof.XiongGeMajor:PureMathematicsCollegeofScienceShanghaiUniversityMarch,2015þ°ÆƬÆØ©ÁÆØ©áuOrliczBrunn-MinkowskinØ,åu4¯KÚ±.تïÄ,9Johný¥N!4L¡È!þÈ©ÚþÈ©.1ÙÏL)ûOrlicz·ÜNÈa4¯K,ÚàNOrlicz-Johný¥Nùa'éý¥N,¿y²Orlicz-Johný¥NëY5Úú4½n,ùL²O
5、rlicz-Johný¥Nò²;Johný¥N9ÙuФLpJohný¥Ní2OrliczBrunn-Minkowskinصee.ïáåOrlicz-Johný¥NLÿÝ55éX.ïÄOrlicz-Johný¥NNÈ.±9NÈ',AO/,ïáOrlicz-Johný¥NNÈ'ت,Tتí2BallïáNÈ'ت±9Lutwak!YangÚZhangïáLp.1nÙÏL)ûOrliczL¡È4z¯K,ÚàN4OrliczL¡ÈùAÛþ,§í2Petty4L¡È±9
6、LYZ4Lp-L¡È.ÏLïÄ4OrliczL¡È¼3NÈàNaþ.,ïá4OrliczL¡È±ØªÚ_±Øª.AO/,4OrliczL¡È_±ØªòBallïá4L¡È_±ØªÚLYZ5ïá4Lp-L¡È_±Øªí2OrliczBrunn-Minkowskinصee.1oÙÏLïÄþÈ©OrliczC©,ÚàNOrlicz·ÜþÈ©ùaAÛþ,§í2Aleksandrov!FenchelÚJessenÚ·ÜþÈ©ÚLutwakÚLp-·Üþ
7、È©.ïáOrlicz·ÜþÈ©Cauchy-Kubotaúª,ùòOrliczBrunn-MinkowskinØÈ©AÛéXå5.ïáOrlicz·ÜþÈ©Minkowski±Øª,¿?ÚïáþÈ©OrliczBrunn-Minkowskiت.1ÊÙÏLïÄþÈ©OrliczC©,ÚàNOrlicz·ÜþÈ©ùaAÛþ.
8、^Grassmann6/þÈ©AÛEâ,/y²Orlicz·ÜþÈ©ØC5.ïáOrlicz·ÜþÈ©Minkowski±Øª,¿?ÚïáþÈ©
9、OrliczBrunn-Minkowskiت.'cµOrliczBrunn-MinkowskinØ,Johný¥N,LpJohný¥N,5,NÈ',4L¡È,_±Øª,þÈ©,þÈ©,È©AÛ,Minkowski±Øª,Brunn-MinkowskiتIXABSTRACTABSTRACTThisdissertationisdevotedtotheOr