Operator-valued Fourier Haar multipliers

DOI10.1016/j.jmaa.2006.01.007zbMath1105.42024OpenAlexW2075848113MaRDI QIDQ854005

Maria Girardi

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.01.007

zbMATH Keywords

UMDR-boundednessFourier Haar multipliers

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) Multipliers for harmonic analysis in several variables (42B15) Linear operators on function spaces (general) (47B38) Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces (46B15) Completeness of sets of functions in nontrigonometric harmonic analysis (42C30)

Related Items (5)

Operator-valued Fourier Haar multipliers on vector-valued \(L^{1}\) spaces ⋮ On multipliers of Fourier series in the Haar system ⋮ Multipliers of double Fourier-Haar series ⋮ Operator-valued Fourier-Haar multipliers on vector-valued \({L^1}\) spaces. II: A characterisation of finite dimensionality ⋮ The space is primary for 1 < p < ∞

Cites Work

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• The operator-valued Marcinkiewicz multiplier theorem and maximal regularity
• Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators
• Singular convolution integrals with operator-valued kernel
• A geometrical characterization of Banach spaces in which martingale difference sequences are unconditional
• Operator-valued Fourier multiplier theorems on \(L_{p}\)(\(X\)) and geometry of Banach spaces.
• Classical Banach spaces. 1: Sequence spaces. 2. Function spaces.
• Stochastic integration in UMD Banach spaces
• Operator-valued martingale transforms and R-boundedness
• ℛ-boundedness, Fourier multipliers and problems of elliptic and parabolic type
• Stochastic integration of functions with values in a Banach space
• Operator-valued Fourier multiplier theorems and maximal \(L_p\)-regularity
• The \(H^\infty\)-calculus and sums of closed operators

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