13480

12278

كارشناسي ارشد

رياضي محض(آناليز)

اصفهان: دانشگاه صنعتي اصفهان، دانشكده علوم رياضي

۱۳۹۶

هشت، [۹۰]ص.: مصور

محمود منجگاني

فريد بهرامي

فارسي به انگليسي

رسول نصر اصفهاني، سيما سلطاني رناني

1397/02/02

كتابنامه

علوم رياضي

رياضي

ID12278

Holder type inequalities of measurable operators Fereshte Ramezani February 2018 Master of Science Thesis in Farsi Departement of Mathematical Sciences Isfahan University of Technology Isfahan 84156 8311 IranSupervisor Dr Seyed Mahmod ManjeganiAdvisor Dr Farid Bahrami2010 MSC Primary 46E05 54D80 54D35Keywords Holder s inequality majorization s numbersAbstract Holder s enequality refers to the folowing elementary though foundamental inequality between themaduli of any pair set complex numbers k k C k 1 n n r p 1 1 1 n n q k k r k p k q 10 k 1 k 1 k 1 1 1 1 Horn and Zhan have generated 1 for where p q r are positive reale number such that p q rA B B H in the folowing form 1 1 A B r A pr p B qr q 11 Kittaneh obtained that if Ai Xi Yi B H i 1 n and r 0 then r r r 2 n n n Xi Ai Xi Xi A Xi Yi Ai Yi 12 i i 1 i 1 i 1The major aim of this dissertation is to examin new inequality 1 might holds for measurable operatorsassociated with a semi finite vin Neumann algebra this dissertation is written based on article Holdertype inequalities of measureable opeators Turdebek N Bekjan Myrzagali N ospanov let m be a measure space and L be the of finite m a e functions on Define L0 asthe subalgebra of L which of all functions f such that m w 0 f w s for somes The rearrangement function f L0 is defined by t f inf s 0 m w f w s t t 0 Let f g L0 We see f is majorazed by g in symbol f g if t t s f ds s g ds t 0 0 0

محمود منجگاني

فريد بهرامي

رسول نصر اصفهاني، سيما سلطاني رناني