Factorization in mixed norm Hardy and BMO spaces

DOI10.4064/sm8751-6-2017zbMath1405.46009arXiv1610.01506OpenAlexW3100393620MaRDI QIDQ4638373

Richard Lechner

Publication date: 8 May 2018

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.01506

zbMATH Keywords

projectionsfactorizationlocalizationprimaryquasi-diagonalizationbi-parameter Haar systemcombinatorics of colored dyadic rectanglesmixed norm Hardy spaces

Mathematics Subject Classification ID

Local theory of Banach spaces (46B07) Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) (H^p)-spaces (42B30) Nonseparable Banach spaces (46B26) Martingales and classical analysis (60G46)

Related Items (12)

Restricted invertibility of continuous matrix functions ⋮ Factorization in \(\mathrm{SL}^{\infty}\) ⋮ Direct sums of finite dimensional $SL^\infty_n$ spaces ⋮ Extension of multilinear fractional integral operators to linear operators on mixed-norm Lebesgue spaces ⋮ Restricted estimates of the fractional integral on the diagonal ⋮ Dimension dependence of factorization problems: Biparameter Hardy spaces ⋮ Factorization of the identity through operators with large diagonal ⋮ The factorisation property ofl^∞(X_k) ⋮ Continuous factorization of the identity matrix ⋮ Dimension dependence of factorization problems: Hardy spaces and \(SL_n^\infty\) ⋮ Hardy-Littlewood-Sobolev inequality on mixed-norm Lebesgue spaces ⋮ Subsymmetric bases have the factorization property

Cites Work

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• On the primarity of \(H^{\infty}\)-spaces
• Primarité de \(L^ p(L^ r)\), \(1<p,r<\infty\)
• Orthogonal projections on martingale \(H^ 1\) spaces of two parameters
• On Pitt's theorem for operators between scalar and vector-valued quasi-Banach sequence spaces
• Factorization of the identity through operators with large diagonal
• Isomorphismes entre espaces \(H_ 1\)
• LOCALIZATION AND PROJECTIONS ON BI-PARAMETER BMO
• Two remarks on primary spaces
• The l ^∞ direct sum of L ^p (1 < p < ∞) is primary
• The Banach Space B(l ² ) is Primary

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