Boundedness of the maximal operator in the local Morrey-Lorentz spaces

DOI10.1186/1029-242X-2013-346zbMath1284.42030OpenAlexW2112503710WikidataQ59299544 ScholiaQ59299544MaRDI QIDQ2437673

Canay Aykol, Vagif S. Guliyev, A. Serbetci

Publication date: 13 March 2014

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2013-346

zbMATH Keywords

maximal operatorLorentz spaceMorrey spaceLorentz-Morrey spacelocal Morrey-Lorentz space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Integral operators (47G10)

Related Items (7)

Multilinear commutators related to maximal function on Morrey-Banach space and its application ⋮ Definability of singular integral operators on Morrey-Banach spaces ⋮ 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 operators with homogeneous kernels on generalized Lorentz-Morrey spaces ⋮ Maximal operator and Calderon–Zygmund operators in local Morrey–Lorentz spaces

Cites Work

• Integral operators on \(B_\sigma\)-Morrey-Campanato spaces
• Gradient estimates below the duality exponent
• Interpolation between \(L^\infty\) and \(H^1\), the real method
• Embeddings for Morrey-Lorentz spaces
• Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
• On a class of interpolation spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Some new functional spaces
• On the theory of spaces \(\Lambda\)
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• Boundedness of the fractional maximal operator in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the Riesz potential in local Morrey-type spaces

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