Boundedness of the Hardy and the Hardy-Littlewood operators in the spaces $ \operatorname {Re}H^1$ and BMO

DOI10.1070/SM1997v188n07ABEH000246zbMath0908.46020MaRDI QIDQ4376838

Boris I. Golubov

Publication date: 15 March 1999

Published in: Sbornik: Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hardy-Littlewood operatorboundedness of the Hardy operatorHardy space of single-valued analytic functionsspace BMO of functions of bounded mean oscillation

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) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (13)

Two characterizations of central BMO space via the commutators of Hardy operators ⋮ Endpoint estimates for \(n\)-dimensional Hardy operators and their commutators ⋮ Endpoint estimates for fractional Hardy operators and their commutators on Hardy spaces ⋮ Characterization for commutators of \(n\)-dimensional fractional Hardy operators ⋮ Commutators of \(n\)-dimensional rough Hardy operators ⋮ \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages ⋮ Hausdorff operators of special kind in \textit{BMO}-type spaces and Hölder-Lipschitz spaces ⋮ Function characterizations via commutators of Hardy operator ⋮ The Hardy and Bellman operators in spaces connected with \(H(\mathbb{T})\) and \(BMO(\mathbb{T})\) ⋮ Geometric maximal operators and BMO on product bases ⋮ Operators of almost Hadamard type and Hardy-Littlewood operator in the space of entire functions of several complex variables ⋮ On the compactness of commutators of Hardy operators ⋮ Hardy-Littlewood-type theorems for Fourier transforms in \(\mathbb{R}^d\)

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