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Title: Generalisations of an inequality of Hardy under polynomial changes of variables
Author: Dendrinos, Spyridon
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2005
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Hardy’s inequality is a basic inequality in the theory of the Hardy spaces. In this thesis, we outline the development of the Hardy spaces from their complex analytic roots to their real variable interpretation of the 1960’s and 1970’s and we then prove a generalisation of the classical Hardy’s inequality in the context of Rn under polynomial changes of variables. Central to our proof of this generalisation is a weighted restriction theorem for polynomial curves, which is global in a certain sense.  We also give a simpler proof which only works in 2 dimensions.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available