Multipliers on bi-parameter Haar system Hardy spaces

DOI10.1007/s00208-024-02887-9MaRDI QIDQ6634473

Paul F. X. Müller, Pavlos Motakis, Thomas Schlumprecht, Richard Lechner

Publication date: 7 November 2024

Published in: Mathematische Annalen (Search for Journal in Brave)

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Classical Banach spaces in the general theory (46B25) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) (H^p)-spaces (42B30) Martingales and classical analysis (60G46) Hardy spaces (30H10)

Related Items (1)

Orthogonal factors of operators on the Rosenthal \(X_{p,w}\) spaces and the Bourgain-Rosenthal-Schechtman \(R_\omega^p\) space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Primarité de \(\ell_p(L^1)\)
• Several results concerning unconditionality in vector valued \(L^ p\) and \(H^ 1({\mathcal F}_ n)\) spaces
• Operator-valued Fourier Haar multipliers
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Invertibility of ``large submatrices with applications to the geometry of Banach spaces and harmonic analysis
• Primarite de \(L^p(\ell_r),1<p,r<\infty\)
• New classes of \(L_ p-\)spaces
• Primarité de \(L^ p(L^ r)\), \(1<p,r<\infty\)
• An ordinal \(L^p\)-index for Banach spaces, with application to complemented subspaces of \(L^p\)
• On subsequences of the Haar system in \(L_p [0,1\), \((1<p<\infty)\)]
• Equal signs additive sequences in Banach spaces
• Martingales with values in uniformly convex spaces
• James' quasi-reflexive space is primary
• Embedding \(L_1\) in a Banach lattice
• Orthogonal projections on martingale \(H^ 1\) spaces of two parameters
• Multipliers of the Haar series
• Factorization of the identity through operators with large diagonal
• Isomorphismes entre espaces \(H_ 1\)
• Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality
• Factorisation in stopping-time Banach spaces: identifying unique maximal ideals
• Strategically reproducible bases and the factorization property
• A study of conditional spreading sequences
• Operator-valued Fourier Haar multipliers on vector-valued \(L^{1}\) spaces
• Contributions to the theory of the classical Banach spaces
• A complementably universal conjugate Banach space and its relation to the approximation problem
• Operator-valued martingale transforms and R-boundedness
• Martingales in Banach Spaces
• Analysis in Banach Spaces
• Pointwise multipliers on martingale Campanato spaces
• The Unconditional Basic Sequence Problem
• Projections in certain Banach spaces
• Commutators on ℓ_∞
• BMO and the Banach Space Approximation Problem
• Symmetric structures in Banach spaces
• Subspaces of $L^{1}$ containing $L^{1}$
• A Remark on Complemented Subspaces of Unitary Matrix Spaces
• Primarité de Certains Espaces de Banach
• Bounded Toeplitz Operators on H 1 and Applications of the Duality Between H 1 and the Functions of Bounded Mean Oscillation
• Analysis in Banach Spaces
• Dimension dependence of factorization problems: Biparameter Hardy spaces
• Two remarks on primary spaces
• Primarite de L p (X)
• The factorisation property ofl^∞(X_k)
• Hardy Martingales
• Subsymmetric weak$^*$ Schauder bases and factorization of the identity
• Vector-valued wavelets and the Hardy space H¹(Rⁿ,X)
• The main triangle projection in matrix spaces and its applications
• Projections on Banach spaces with symmetric bases
• The space is primary for 1 < p < ∞

This page was built for publication: Multipliers on bi-parameter Haar system Hardy spaces