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The Dual Space Of KlnK And The Correlative Properties

Posted on:2004-06-17Degree:MasterType:Thesis
Country:ChinaCandidate:Y L LiFull Text:PDF
GTID:2120360092486231Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
The aim of this paper is to investigate the dual space of klnk and its relevant properties, furtherly to solve its connections with other martingale spaces. For this reason, utilizing a special funtional space-Orlicz space and classical inequality, such as Young inequality, Holder inequality and so on.I discuss application of N-function in martingale space and commit myself to construct such kind of martingale spaces as L*M;In this paper, I am devoted to study Me and its equivalent definition-Me , and furthermore elucidate its connections with other martingale spaces.Based on which, I investigate the linear functional defined in L*M, and what's more solve their relations among L*M.
Keywords/Search Tags:Doob inequality, John-Nirenberg inequality, martingale space, dual space of martingale, norm
PDF Full Text Request
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