Font Size: a A A

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:
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
Related items