Vector-valued Walsh-Paley martingales and geometry of Banach spaces

1995/08/01 by Wenzel, Joerg
#46B #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.math/9508207

Abstract

The concept of Rademacher type p (1≤ p≤2) plays an important role in the local theory of Banach spaces. In \citemas88 Mascioni considers a weakening of this concept and shows that for a Banach space X weak Rademacher type p implies Rademacher type r for all r

Related

• Lower estimates of random unconditional constants of Walsh-Paley martingales with values in banach spaces
• Pointwise properties of martingales with values in Banach function spaces
• Local characteristics and tangency of vector-valued martingales
• Spaces of regular abstract martingales
• Strong martingale type and uniform smoothness