Title :
The Dual of a Special Martingale Hardy Space
Author :
Guo, Hongping ; Yu, Lin
Author_Institution :
Coll. of Sci., China Three Gorges Univ., Yichang, China
Abstract :
In this paper, the dual of a novel martingale Hardy space generated by α-mean-square operator is addressed. Fefferman´s inequality is proved to hold for 1 ≤ α ≤ 2 and 1 ≤ p ≤ α. Meanwhile, the dual space of HpSα is characterized and proved in the case. The result shows that for 1 ≤ α ≤ 2 and 1 ≤ p ≤ a , the dual space of HpSα can be characterized by Garsia space αKp.
Keywords :
duality (mathematics); stochastic processes; α-mean square operator; Fefferman inequality; Garsia space; Martingale Hardy space; dual space; Artificial neural networks; Cryptography; Educational institutions; Equations; Indexes; Oscillators; Presses; Fefferman´s inequality; dual space Hsap; martingale;
Conference_Titel :
Cryptography and Network Security, Data Mining and Knowledge Discovery, E-Commerce & Its Applications and Embedded Systems (CDEE), 2010 First ACIS International Symposium on
Conference_Location :
Qinhuangdao
Print_ISBN :
978-1-4244-9595-5
DOI :
10.1109/CDEE.2010.35
