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时间:2020-02-28
《一些分数次Hardy算子的端点估计.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、Æ“Ò10530ÆÒ201009011050©aÒO174—?a¬ÆØ©˜©êgHardyŽfà:OÆž<ùÞ•P“9^ŒÇƶ¡êƆOŽ‰ÆÆƉ;’Ä:êÆïÄ••¼êØ9ÙA^"˜nco›F˜©êgHardyŽfà:OÆž<ùÞ“6¶9…¡9^ŒÇƶ¡êƆOŽ‰ÆÆƉ;’Ä:êÆïÄ••¼êØ9ÙA^Æž?OnÆa¬Æǃü‰ŒÆØ©JFÏ"˜nco›FEstimatesforHardyoperaterswithfractionalindicesCandidateShaCaoSupervisorandRankProfessorShunc
2、haoLongCollegeSchoolofMathematicsandComputationalScienceProgramPureMathematicsSpecializationFunctionTheoryanditsApplicationDegreeMasterofScienceUniversityXiangtanUniversityDateApril10th,2013‰ŒÆÆØ©M5(²¤JŠ¬§é©ïĉѕ‡ z‡<Ú8
3、N§þ®3©¥±²(•ªI²"<¿£(²{Æ Jd<«ú"Šö¶µFϵcFÆØ©‡¦^ÇÖÆØ©Šö)Æk'3!¦^ÆØ©5½§Ó¿Æ3¿•I[k'Ü€½ÅxØ©E<‡Ú>f‡§#NØ©Ú/"<ljŒÆŒ±òÆةܽܩSN?k'êâ¥?1u¢§Œ±æ^K
4、s(R+)þO.!'…cµHardy.˜m¶HardyŽfO¶©êgHardyŽf.IAbstractInthispaper,wegettheestimatesforHardyoperatorHf(x)anditsdualoperatorHf(x)withfractionalindex0<<1inHardytypespacesHp;q;s(R+)when0
5、............................................(I)Abstract...............................................................(II)11ÙÚó.......................................................(1)1.1ïĵ9̇(J............................................(1)1.2©Ì‡óŠ9©Ù(.......................................(5)
6、12Ùý•£.....................................................(7)2.1½Â............................................................(7)2.2•‡Øª.....................................................(8)2.3®•(Ø.......................................................(9)13Ù©êgHardyŽfO........................
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