Martingale Hardy Spaces and their Applications in Fourier Analysis
Author:   Ferenc Weisz
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Edition:   1994 ed.
Volume:   1568
ISBN:  

9783540576235


Pages:   224
Publication Date:   28 March 1994
Format:   Paperback
Availability:   In Print   Availability explained
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Martingale Hardy Spaces and their Applications in Fourier Analysis


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Overview

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.

Full Product Details

Author:   Ferenc Weisz
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1994 ed.
Volume:   1568
Dimensions:   Width: 15.60cm , Height: 1.20cm , Length: 23.40cm
Weight:   0.730kg
ISBN:  

9783540576235


ISBN 10:   3540576231
Pages:   224
Publication Date:   28 March 1994
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Preliminaries and notations.- One-parameter Martingale Hardy spaces.- Two-Parameter Martingale Hardy spaces.- Tree martingales.- Real interpolation.- Inequalities for Vilenkin-fourier coefficients.

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