The \(L_{p_{1} r_{1}}\times L_{p_{2} r_{2}}\times\dots\times L_{p_{k}r_{k}}\) boundedness of rough multilinear fractional integral operators in the Lorentz spaces
DOI10.1186/s13660-015-0584-9zbMath1309.42016OpenAlexW2597717161WikidataQ59425091 ScholiaQ59425091MaRDI QIDQ2262010
Vagif S. Guliyev, Sh. A. Nazirova, Ismail Ekincioglu
Publication date: 16 March 2015
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-015-0584-9
Lorentz spacesmultilinear fractional integral operatorsrearrangement estimateO'Neil inequality\(k\)-linear convolution operator\(k\)-sublinear fractional maximal operator
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Integral operators (47G10)
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