The Hardy and Bellman operators in spaces connected with \(H(\mathbb{T})\) and \(BMO(\mathbb{T})\)

DOI10.3103/S1066369X08050010zbMath1157.42305OpenAlexW169884442MaRDI QIDQ1006963

Boris I. Golubov, Sergey S. Volosivets

Publication date: 26 March 2009

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

Full work available at URL: https://doi.org/10.3103/s1066369x08050010

zbMATH Keywords

BMOVMObellman transformHardy transformmajorant of modulus of continuity

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (1)

Hardy-Goldberg operator and its conjugate one in Hardy spaces and \({\mathrm{BMO}}(\mathbb{T})\)

Cites Work

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• On the transformation of Fourier coefficients of certain classes of functions
• On functions of bounded mean oscillation
• Composition Semigroups and the Cesàro Operator OnH ^p
• Functions of Vanishing Mean Oscillation
• Cesàro averaging operators
• Cesàro transforms of Fourier coefficients of $L^\{\infty \}$-functions
• Boundedness of the Hardy and the Hardy-Littlewood operators in the spaces $ \operatorname {Re}H^1$ and BMO
• On boundedness of the hardy and bellman operators in the spaces h and bmo
• ON A THEOREM OF BELLMAN ON FOURIER COEFFICIENTS
• The Cesaro Operator is Bounded on H 1
• Note on the Properties of Fourier Coefficients
• Some Theorems on Fractional Derivatives
• A note on a theorem of Hardy on Fourier constants

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