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＜電子ブック＞
Martingale Hardy Spaces and their Applications in Fourier Analysis / by Ferenc Weisz
(Lecture Notes in Mathematics. ISSN:16179692 ; 1568)

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
大きさ	VIII, 224 p : online resource
著者標目	*Weisz, Ferenc author SpringerLink (Online service)
件　名	LCSH:Probabilities LCSH:Mathematical analysis FREE:Probability Theory FREE:Analysis
一般注記	Preliminaries and notations -- One-parameter Martingale Hardy spaces -- Two-Parameter Martingale Hardy spaces -- Tree martingales -- Real interpolation -- Inequalities for Vilenkin-fourier coefficients 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 HTTP:URL=https://doi.org/10.1007/BFb0073448

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