Hardy-Littlewood and Pitt's inequalities for Hausdorff operators

DOI10.1016/J.BULSCI.2018.06.003zbMath1409.42006OpenAlexW2808326299MaRDI QIDQ1670380

Sergey Yu. Tikhonov, M. I. D'yachenko, E. D. Nursultanov

Publication date: 5 September 2018

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.06.003

zbMATH Keywords

Fourier coefficientsHardy-Littlewood theoremPitt's inequalityHausdorff operators

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Convergence and absolute convergence of Fourier and trigonometric series (42A20) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)

Related Items (7)

Hardy-Littlewood-Stein inequalities for double trigonometric series ⋮ Piecewise general monotone functions and the Hardy-Littlewood theorem ⋮ Approximation via Hausdorff operators ⋮ Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces ⋮ Generalized multilinear Hausdorff operators on the Heisenberg group ⋮ Wiener-Beurling spaces and their properties ⋮ Weighted Lebesgue and central Morrey estimates for \(p\)-adic multilinear Hausdorff operators and their commutators

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