Multilinear Hausdorff operators and their best constants

DOI10.1007/s10114-012-1455-7zbMath1261.42035OpenAlexW4383098164MaRDI QIDQ1757927

Jiecheng Chen, Fan, Dashan, Chun Jie Zhang

Publication date: 7 November 2012

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

Full work available at URL: https://doi.org/10.1007/s10114-012-1455-7

zbMATH Keywords

sharp boundsHerz spacemultilinear Hausdorff operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35)

Related Items (22)

Hausdorff operators on Fock spaces and a coefficient multiplier problem ⋮ Sharp weak bounds for Hausdorff operators ⋮ Hausdorff operators on Sobolev spaces W^k,1 ⋮ The Hausdorff operator on the Hardy space \(H^1(\mathbb{R}^1)\) ⋮ Hardy space estimates of Hausdorff operators on the Heisenberg group ⋮ Boundedness of Hausdorff operators on some product Hardy type spaces ⋮ Hausdorff operators on the Heisenberg group ⋮ Matrix dilation and Hausdorff operators on modulation spaces ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Best constants for Hausdorff operators on \(n\)-dimensional product spaces ⋮ Hausdorff operators on the power weighted Hardy spaces ⋮ Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces ⋮ The fractional Hausdorff operators on the Hardy spaces \(H^p(\mathbb{R}^n)\) ⋮ Multidimensional Hausdorff operators and commutators on Herz-type spaces ⋮ Hausdorff operators on function spaces ⋮ Hausdorff operators on Euclidean spaces ⋮ Some new estimates for the commutators of \(n\)-dimensional Hausdorff operator ⋮ Multilinear fractional Hausdorff operators ⋮ Weak and strong estimates for linear and multilinear fractional Hausdorff operators on the Heisenberg group ⋮ The weighted \(L^p\) and \(\text{BMO}\) estimates for fractional Hausdorff operators on the Heisenberg group ⋮ 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

Cites Work

• Unnamed Item
• Hausdorff operators on function spaces
• Weak Lebesgue spaces and quantum mechanical binding
• Weighted Lorentz spaces and the Hardy operator
• Characterization for commutators of \(n\)-dimensional fractional Hardy operators
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• Best Constants for Two Nonconvolution Inequalities
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space

This page was built for publication: Multilinear Hausdorff operators and their best constants