Dimension dependence of factorization problems: Hardy spaces and SL^∞_n.

Richard Lechner

doi:10.1007/s11856-019-1883-5

Dimension dependence of factorization problems: Hardy spaces and SL^∞_n.

Richard Lechner

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

Abstract

Given 1 ≤ p ∞, let Vn denote the finite-dimensional dyadic Hardy space Hpn, its dual or SL∞n. We prove the following quantitative result: The identity operator on Vn factors through any operator T: VN → VN which has large diagonal with respect to the Haar system, where N depends linearly on n.

Originalsprache	Englisch
Seiten (von - bis)	677-693
Seitenumfang	17
Fachzeitschrift	Israel Journal of Mathematics
Volume	232
Ausgabenummer	2
DOIs	https://doi.org/10.1007/s11856-019-1883-5
Publikationsstatus	Veröffentlicht - 01 Aug. 2019

Wissenschaftszweige

101002 Analysis
101032 Funktionalanalysis

JKU-Schwerpunkte

Digital Transformation

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10.1007/s11856-019-1883-5

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