Martingale Hardy Spaces and their Applications in Fourier Analysis

By:

Ferenc Weisz

Format:

Paperback / softback

Series:

Lecture Notes in Mathematics

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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.

Release date NZ

March 28th, 1994

Author

Ferenc Weisz

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational

Illustrations

VIII, 224 p.

Pages

224

Series

Lecture Notes in Mathematics

Dimensions

156x234x12

ISBN-13

9783540576235

Product ID

2816042

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