A Remark on Atomic Decompositions of Martingale Hardy’s Spaces

A Remark on Atomic Decompositions of Martingale Hardy’s Spaces

We prove theorems and exhibit a counterexample concerning an atomic decomposition of martingale H 1 with atoms satisfying simultaneous cancellation condition ( 3 ).

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Veröffentlicht in:The Journal of Geometric Analysis 2021-09, Vol.31 (9), p.8866-8878
Hauptverfasser: Paluszynski, Maciej, Zienkiewicz, Jacek
Format: Artikel
Sprache:eng
Schlagworte:
A Celebration of Guido L.Weiss for his Ninetieth Birthday
Abstract Harmonic Analysis
Convex and Discrete Geometry
Decomposition
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Geometry
Global Analysis and Analysis on Manifolds
Martingales
Mathematics
Mathematics and Statistics
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Zusammenfassung:We prove theorems and exhibit a counterexample concerning an atomic decomposition of martingale H 1 with atoms satisfying simultaneous cancellation condition ( 3 ).
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-020-00449-4