ENGLISH

Martingale Hardy Spaces and their Applications in Fourier Analysis

By Ferenc Weisz (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
3540576231, 9783540576235, 0387576231
DOI
10.1007/BFb0073448
LCC
QA3 .L28 no. 1568,QA274.5 .L28 no. 1568
Open Library ID
OL1436918M
Language
english
Format
PDF
Filesize
7 MB (7737676 bytes)
Series
Lecture Notes in Mathematics 1568
Edition
1
Pages
224\227
Library
mexmat
Scanned
yes
Time added
2009-07-20 03:45:11
Probability Theory and Stochastic Processes; Analy

Description

This book deals with the theory of one- and two-parameter martingale Hardy spaces and their use in Fourier analysis, and gives a summary of the latest results in this field. A method that can be applied for both one- and two-parameter cases, the so-called atomic decomposition method, is improved and provides a new and common construction of the theory of one- and two-parameter martingale Hardy spaces. A new proof of Carleson's convergence result using martingale methods for Fourier series is given with martingale methods. The book is accessible to readers familiar with the fundamentals of probability theory and analysis. It is intended for researchers and graduate students interested in martingale theory, Fourier analysis and in the relation between them.

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