On Pisier’s inequality for UMD targets

DOI10.4153/S0008439520000442zbMath1480.46017arXiv2002.10396OpenAlexW3035000820MaRDI QIDQ5003434

Alexandros Eskenazis

Publication date: 22 July 2021

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.10396

zbMATH Keywords

UMD Banach spacePisier's inequalityBanach space valued martingale

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Local theory of Banach spaces (46B07) Martingales and classical analysis (60G46) Embeddings of discrete metric spaces into Banach spaces; applications in topology and computer science (46B85)

Related Items (max. 100)

Discrete logarithmic Sobolev inequalities in Banach spaces

Cites Work

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• Holomorphic semi-groups and the geometry of Banach spaces
• Isoperimetry, logarithmic Sobolev inequalities on the discrete cube, and Margulis' graph connectivity theorem
• On the UMD constants for a class of iterated \(L_p(L_q)\) spaces
• Rademacher type and Enflo type coincide
• Martingales in Banach Spaces
• Remarks on non linear type and Pisiers inequality
• Pisier's inequality revisited
• Topics in Harmonic Analysis Related to the Littlewood-Paley Theory. (AM-63)

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