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Catalogue Information
Field name	Details
Dewey Class	519.2
Title	Martingale Hardy Spaces and their Applications in Fourier Analysis ([EBook] /) / by Ferenc Weisz.
Author	Weisz, Ferenc
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details	VIII, 224 p. : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 1568
ISBN	9783540482956
Summary Note	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.:
Contents note	Preliminaries and notations -- One-parameter Martingale Hardy spaces -- Two-Parameter Martingale Hardy spaces -- Tree martingales -- Real interpolation -- Inequalities for Vilenkin-fourier coefficients.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0073448
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematics . Probabilities . Probability theory and stochastic processes . Authors: Weisz, Ferenc . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 519.2 .

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Martingale Hardy Spaces and their Applications in Fourier Analysis

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