The fractional Hausdorff operators on the Hardy spaces \(H^p(\mathbb{R}^n)\)

DOI10.1007/s10476-016-0101-5zbMath1374.42047OpenAlexW2334094979MaRDI QIDQ519956

Yong-Cai Geng, Sumit K. Garg

Publication date: 31 March 2017

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-016-0101-5

zbMATH Keywords

Hardy spaceRiesz transformfractional Hausdorff operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (H^p)-spaces (42B30)

Related Items (14)

Sharp constants for \(q\)-analogue of Hausdorff operators on central \(q\)-Morrey spaces ⋮ Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces ⋮ Hardy space estimates of Hausdorff operators on the Heisenberg group ⋮ Some weighted inequalities for Hausdorff operators and commutators ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1 ⋮ Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups ⋮ Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces ⋮ Sharp weak bounds for \(n\)-dimensional fractional Hardy operators ⋮ Weak and strong estimates for linear and multilinear fractional Hausdorff operators on the Heisenberg group ⋮ Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups ⋮ Hausdorff operators on weighted Lorentz spaces

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