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

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	677-693
Number of pages	17
Journal	Israel Journal of Mathematics
Volume	232
Issue number	2
DOIs	https://doi.org/10.1007/s11856-019-1883-5
Publication status	Published - 01 Aug 2019

Fields of science

101002 Analysis
101032 Functional analysis

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Digital Transformation

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10.1007/s11856-019-1883-5

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AB - 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.

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JO - Israel Journal of Mathematics

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ER -

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

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