hardy-hilbert型不等式的改进与推广

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1、吉首大学硕士学位论文Hardy-Hilbert型不等式的改进与推广马群威二0一八年五月分类号密级公开UDC单位代码吉首大学硕士学位论文Hardy-Hilbert型不等式的改进与推广OnsomeImprovementandExtensionofHardy-HilberttypeInequalities研究生姓名马群威指导教师贺乐平（教授）学科专业数学研究方向Hilbert不等式提交论文日期年月日论文答辩日期年月日答辩委员会主席论文评阅人二0一八年五月71}Tsd.......................................

2、...........................ABSTRACT...............................................................1w℄2.............................................................(1)1.1A>&'...............................................(1)1.2sD^qn................................

3、...............(2)2wgC85
q*F>y
Hilbert[wH.............(3)2.1+...........................................................(3)2.2+W..........................................................(3)2.3^2{......................................................(7)2.4Ve?.....

4、...............................................(12)3wgC85
~Hilbert[wH.........................(16)3.1+..........................................................(16)3.2+W.........................................................(17)3.3^2m7Ve?........................

5、..................(24)3.4'h`....................................................(29)4wy
Mulholland[wH
<..........................(31)4.1+..........................................................(31)4.2+W.........................................................(33

6、)4.3^2{.....................................................(34)5w!nuR......................................................(40){Y.....................................................................(41)y&TW.............................................................

7、...(42)yq_:A
_{............................................(46)teHilbertÆF>BaxUZDF>.sf

8、+&C>"aD℄Y,RV*UZaDHardy-HilbertÆF>nbg:7iw,5V>x,+℄bp/DF>,o/bF$>7>,HkbVe?`2{,zb&*eDl.
E:4.sDA>A&'^2m.
WE:-.D℄Y9axD,+℄mDxDV*~U"DHilbertÆF>,z

9、b&*eDl.3k,o/bF$>7`X`2{,HkbVe?.
(E:f

10、4.%a,[.9axD,+℄mxD~U"DUZHilbertÆaF>,zb&*eDl,