Buch, Englisch, Band 1568, 224 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 359 g
Reihe: Lecture Notes in Mathematics
Buch, Englisch, Band 1568, 224 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 359 g
Reihe: Lecture Notes in Mathematics
ISBN: 978-3-540-57623-5
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
- Mathematik | Informatik Mathematik Mathematische Analysis Harmonische Analysis, Fourier-Mathematik
- Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
- Mathematik | Informatik Mathematik Mathematische Analysis Funktionalanalysis
Weitere Infos & Material
Preliminaries and notations.- One-parameter Martingale Hardy spaces.- Two-Parameter Martingale Hardy spaces.- Tree martingales.- Real interpolation.- Inequalities for Vilenkin-fourier coefficients.
