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HARDY SPACES AND HARDY-TYPEINEQUALITIES

Bektas, Asli (2011) HARDY SPACES AND HARDY-TYPEINEQUALITIES. Master's Thesis, University of Pittsburgh. (Unpublished)

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Abstract

This Master's Thesis is devoted to special kinds of inequalities which generalize Hardy'sInequality and Paley's Inequality in H1. We provide a more detailed proof for Hardy'sInequality by using a new approach. We also establish Hardy-Like Inequalities by usingH1- H2 Factorization theorem, and we calculate the best constant for these Hardy-LikeInequalities.

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Details

Item Type: University of Pittsburgh ETD
Status: Unpublished
Creators/Authors:
CreatorsEmailPitt UsernameORCID
Bektas, Aslimatheasli@hotmail.com, asb71@pitt.eduASB71
ETD Committee:
TitleMemberEmail AddressPitt UsernameORCID
Committee ChairLennard, Christopher Jlennard@pitt.eduLENNARD
Committee MemberTonge, Andrewtonge@math.kent.edu
Committee MemberTurett, Barryturett@oakland.edu
Committee MemberRadelet, Dandradelet@gmail.com
Committee MemberBeatrous, Frankbeatrous@pitt.eduBEATROUS
Committee MemberPan, Yibiaoyibiao@pitt.eduYIBIAO
Date: 27 January 2011
Date Type: Completion
Defense Date: 19 November 2010
Approval Date: 27 January 2011
Submission Date: 30 November 2010
Access Restriction: 5 year -- Restrict access to University of Pittsburgh for a period of 5 years.
Institution: University of Pittsburgh
Schools and Programs: Dietrich School of Arts and Sciences > Mathematics
Degree: MS - Master of Science
Thesis Type: Master's Thesis
Refereed: Yes
Uncontrolled Keywords: Hardy Type Inequalities; Paley's Inequality; Best Constants; Hary Spaces
Other ID: http://etd.library.pitt.edu/ETD/available/etd-11302010-125856/, etd-11302010-125856
Date Deposited: 10 Nov 2011 20:07
Last Modified: 15 Nov 2016 13:52
URI: http://d-scholarship.pitt.edu/id/eprint/9892

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