The boundedness of Hilbert transform in the local Morrey–Lorentz spaces

DOI10.1080/10652469.2015.1121483zbMath1347.42021OpenAlexW2275387424MaRDI QIDQ2812111

A. Serbetci, Vagif S. Guliyev, Abdulhamit Kucukaslan, Canay Aykol

Publication date: 16 June 2016

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2015.1121483

zbMATH Keywords

Hilbert transformHardy operatormodified Hilbert transformlocal Morrey-Lorentz spaces

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Integral operators (47G10)

Related Items (8)

Riesz potential in the local Morrey-Lorentz spaces and some applications ⋮ Decompositions of local Morrey-type spaces ⋮ Maximal and Calderón–Zygmund operators on the local variable Morrey–Lorentz spaces and some applications ⋮ Fractional maximal operator in the local Morrey-Lorentz spaces and some applications ⋮ Fractional integral operator and its commutator on generalized Morrey spaces associated with ball Banach function spaces ⋮ Fractional integral operators with homogeneous kernels on generalized Lorentz-Morrey spaces ⋮ Linear operators and their commutators generated by Calderón-Zygmund operators on generalized Morrey spaces associated with ball Banach function spaces ⋮ Maximal operator and Calderon–Zygmund operators in local Morrey–Lorentz spaces

Cites Work

• Unnamed Item
• Characterization of the weak-type boundedness of the Hilbert transform on weighted Lorentz spaces
• A note on Riesz potentials
• Weighted Hardy and singular operators in Morrey spaces
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces

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