The Brown-Halmos theorem for a pair of abstract Hardy spaces

DOI10.1016/j.jmaa.2018.11.022OpenAlexW2964013995MaRDI QIDQ2414749

Alexei Yu. Karlovich, Eugene Shargorodsky

Publication date: 17 May 2019

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

Full work available at URL: https://arxiv.org/abs/1802.08438

zbMATH Keywords

Toeplitz operatorBanach function spaceBrown-Halmos theorempointwise multipliervariable Lebesgue spaceweighted Lorentz space

Mathematics Subject Classification ID

Toeplitz operators, Hankel operators, Wiener-Hopf operators (47B35) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items

Toeplitz Operators Between Distinct Abstract Hardy Spaces ⋮ On the essential norms of singular integral operators with constant coefficients and of the backward shift ⋮ Noncompactness of Toeplitz operators between abstract Hardy spaces ⋮ When are the norms of the Riesz projection and the backward shift operator equal to one? ⋮ The Coburn lemma and the Hartman-Wintner-Simonenko theorem for Toeplitz operators on abstract Hardy spaces ⋮ Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces ⋮ Regularization for Lozanovskii's type factorization with applications ⋮ Compact Hankel operators between distinct Hardy spaces and commutators

Cites Work

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• Variable Lebesgue spaces. Foundations and harmonic analysis
• Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
• The Coburn-Simonenko theorem for Toeplitz operators acting between Hardy type subspaces of different Banach function spaces
• On the effect of rearrangement on complex interpolation for families of Banach spaces
• Notes on interpolation of Hardy spaces
• The dual of weak \(L^p\)
• Carleson curves, Muckenhoupt weights, and Toeplitz operators
• Fredholmness of singular integral operators with piecewise continuous coefficients on weighted Banach function spaces
• Toeplitz operators on abstract Hardy spaces built upon Banach function spaces
• Pointwise mutipliers of Orlicz function spaces and factorization
• Pointwise multipliers on Musielak-Orlicz spaces
• Hankel and Toeplitz operators in Hardy spaces
• Norms of Toeplitz and Hankel operators on Hardy type subspaces of rearrangement-invariant spaces
• Functional analysis. Vol. 1-2. Transl. from the Russian by Peter V. Malyshev
• An extremal problem for characteristic functions
• Pointwise multipliers of Calderón-Lozanovskiǐ spaces
• Two-weighted estimations for the Hardy-Littlewood maximal function in ideal Banach spaces
• Hankel operators, best approximations, and stationary Gaussian processes
• Density of analytic polynomials in abstract Hardy spaces
• Bounded Analytic Functions
• Composition Operators
• Weighted Norm Inequalities for the Conjugate Function and Hilbert Transform
• When does the norm of a Fourier multiplier dominate its L∞ norm?