Constructions of bounded functions related to two-sided Hardy inequalities

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" Constructions of bounded functions related to two-sided Hardy inequalities "
Mohammad Suboh Sababheh

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	54274
Doc. No	:	TL24228
Call number	:	‭NR25240‬
Main Entry	:	Mohammad Suboh Sababheh
Title & Author	:	Constructions of bounded functions related to two-sided Hardy inequalities\ Mohammad Suboh Sababheh
College	:	McGill University (Canada)
Date	:	2006
Degree	:	Ph.D.
student score	:	2006
Page No	:	102
Abstract	:	We investigate inequalities that can be viewed as generalizations of Hardy's inequality about the Fourier coefficients of a function analytic on the circle. The proof of the Littlewood conjecture opened a wide door in front of questions regarding possible generalizations of Hardy's inequality. The proof of the Littlewood conjecture was based on some constructions of bounded functions having particular properties. In 1993, I. Klemes investigated one of the constructions (we shall call it the algebraic construction) and proved what is called a mixed norm generalization of Hardy's inequality. It turns out that we can work with the same construction and examine more properties of it in order to get more results. The objectives of the thesis are to give more detailed properties of the algebraic construction and to use these properties in order to prove various versions of two-sided Hardy inequalities.
Subject	:	Pure sciences; Bounded functions; Hardy inequalities; Mathematics; 0405:Mathematics
Added Entry	:	McGill University (Canada)