Multilinear fractional Hausdorff operators

DOI10.1007/s10114-014-3552-2zbMath1322.42019OpenAlexW1992926971MaRDI QIDQ741216

Fa You Zhao, Fan, Dashan

Publication date: 11 September 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-014-3552-2

zbMATH Keywords

Lebesgue spacesweak type estimatesmultilinear fractional Hausdorff operatorsstrong type estimates

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) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Maximal functions, Littlewood-Paley theory (42B25) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38)

Related Items

Sharp weak bounds for Hausdorff operators ⋮ On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces ⋮ Hausdorff operators on the Heisenberg group ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Multilinear Hardy-Cesáro operator and commutator on the product of Morrey-Herz spaces ⋮ Multilinear Hausdorff operators on weighted Herz and Morrey-Herz spaces with variable exponent ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups ⋮ Hausdorff operators on weighted Lorentz spaces

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