HAIT Journal of Science and Engineering C
Volume 4, Issues 1-2, pp. 233-262
© 2007 Holon Institute of Technology

 

Moment Banach spaces: Theory and applications

Eugene Ostrovsky1 and Leonid Sirota2,*

1Department of Mathematics, Hadas Ltd.,
16 Galgaley Haplada St., Herzelia Pituach 46722, Israel
2Bar-Ilan University, Ramat-Gan 52900, Israel
*Corresponding author: sirota@zahav.net.il

 Received 1 May 2006, revised 19 November 2006, accepted 21 November 2006

 

In this article we introduce and investigate some new Banach spaces, so-called moment spaces, and consider applications to the Fourier series, singular integral operators, theory of martingales.

2000 Mathematics Subject Classification: Primary (1991) 37B30, 33K55, Secondary (2000) 34A34, 65M20, 42B25

Key words: Banach, Orlicz, Lorentz, Marcinkiewicz, moment and rearrangement invariant spaces, martingales, singular operators, Fourier series and transform.


 

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