An Alberti's rank-one theorem for martingales

DOI10.2140/PJM.2025.334.1MaRDI QIDQ6656374

Dmitry M. Stolyarov, Rami Ayoush, Michał Wojciechowski

Publication date: 2 January 2025

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

vector measuremartingalerank-one property

Mathematics Subject Classification ID

Vector-valued set functions, measures and integrals (28B05) Martingales and classical analysis (60G46)

Cites Work

• On the structure of \({\mathcal A}\)-free measures and applications
• Sobolev martingales
• Dimension estimates for vectorial measures with restricted spectrum
• On finite configurations in the spectra of singular measures
• Characterisations of $H^1$ by singular intetgral transforms on martingales and $\mathsf{R}^n$
• Rank one property for derivatives of functions with bounded variation
• Differentiation of Measures in Metric Spaces
• Hardy-Littlewood-Sobolev inequality for $p=1$

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