Hausdorff operators on function spaces
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Publication:692451
DOI10.1007/s11401-012-0724-1zbMath1261.42036OpenAlexW2039451853MaRDI QIDQ692451
Jun Li, Jiecheng Chen, Fan, Dashan
Publication date: 6 December 2012
Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11401-012-0724-1
Related Items (62)
Hausdorff operators on Fock spaces and a coefficient multiplier problem ⋮ Boundedness of the Dunkl-Hausdorff operator in Lebesgue spaces ⋮ Commutators of Hausdorff operators on Herz-type Hardy spaces ⋮ Sharp weak bounds for Hausdorff operators ⋮ On two-weight inequalities for Hausdorff operators of special kind in Lebesgue spaces ⋮ Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces ⋮ Hausdorff operators on Sobolev spaces Wk,1 ⋮ The Hausdorff operator on the Hardy space \(H^1(\mathbb{R}^1)\) ⋮ Weighted inequalities for commutators of \(p\)-adic Hausdorff operators on Herz spaces ⋮ Some \(q\)-inequalities for Hausdorff operators ⋮ Hardy space estimates of Hausdorff operators on the Heisenberg group ⋮ On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces ⋮ Weighted Morrey-Herz space estimates for rough Hausdorff operator and its commutators ⋮ Boundedness of Hausdorff operators on some product Hardy type spaces ⋮ Integrability of the general product Hardy operators on the product Hardy spaces ⋮ Hausdorff operators on the Heisenberg group ⋮ Some estimates for rough Hausdorff operators on the Heisenberg group ⋮ Rough Hausdorff operators on Lebesgue spaces with variable exponent ⋮ Some weighted inequalities for Hausdorff operators and commutators ⋮ Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Matrix dilation and Hausdorff operators on modulation spaces ⋮ Weighted estimates for commutators of Hausdorff operators on the Heisenberg group ⋮ Two-weighted estimates for multilinear Hausdorff operators on the Morrey-Herz spaces ⋮ Some estimates for \(p\)-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces ⋮ Boundedness of commutators of high-dimensional Hausdorff operators ⋮ On quasi-grand Lebesgue spaces and the Hausdorff operator ⋮ To the spectral theory of discrete Hausdorff operators ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Rough fractional Hausdorff operators on Morrey-Herz spaces with variable exponents ⋮ A characterization of two-weight norm inequalities for multidimensional Hausdorff operators on Lebesgue spaces ⋮ Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space ⋮ Boundedness of Hausdorff operators on Hardy spaces over homogeneous spaces of Lie groups ⋮ Hausdorff operator and commutator on weighted Morrey-Herz spaces on \(p\)-adic fields ⋮ Best constants for Hausdorff operators on \(n\)-dimensional product spaces ⋮ Hausdorff operator on Morrey spaces and Campanato 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 ⋮ Generalized Hausdorff operators on \(\dot{K}_{\alpha, q}^{\beta, p}(\mathbb{R})\) and \(H\dot{K}_{\alpha, q}^{\beta, p, N}(\mathbb{R})\) in the Dunkl settings ⋮ 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 ⋮ Multilinear Hausdorff operators and their best constants ⋮ Boundedness of multidimensional Hausdorff operators on \(H^1(\mathbb R^n)\) ⋮ Hausdorff operators on Euclidean spaces ⋮ Hausdorff operator on weighted Lebesgue and grand Lebesgue \(p\)-adic spaces ⋮ Dilation operators and integral operators on amalgam space \((L_p,l_q)\) ⋮ Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces ⋮ Some new estimates for the commutators of \(n\)-dimensional Hausdorff operator ⋮ Rough Hausdorff operator and its commutators on the Heisenberg group ⋮ Some results for the commutators of generalized Hausdorff operator ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ 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 ⋮ Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group ⋮ Hausdorff operator in Lebesgue spaces ⋮ Hausdorff operators on weighted Banach spaces of type \(H^\infty\) ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups ⋮ Hausdorff operators on weighted Lorentz spaces ⋮ Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces ⋮ Hausdorff and Dunkl-Hausdorff operators in Lebesgue spaces for monotone functions and monotone weights
Cites Work
- A discrete transform and decompositions of distribution spaces
- Multilinear Hausdorff operators and their best constants
- Boundedness of Hausdorff operators on some product Hardy type spaces
- Integrability of the general product Hardy operators on the product Hardy spaces
- Weighted Lorentz spaces and the Hardy operator
- Characterization for commutators of \(n\)-dimensional fractional Hardy operators
- Boundedness of the Hausdorff operators in Hpspaces, 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
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