Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces

DOI10.1134/S0001434619070034zbMath1429.42023arXiv1808.03787OpenAlexW2970215659WikidataQ127329796 ScholiaQ127329796MaRDI QIDQ2282832

Nguyen Minh Chuong, Kieu Huu Dung, Dao Van Duong

Publication date: 20 December 2019

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03787

zbMATH Keywords

atom\(A_p\) weightHausdorff operatorHerz spaceHerz-type Hardy space

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) (H^p)-spaces (42B30) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (12)

A characterization of CMO˙q→ via the commutator of Hardy-type operators on mixed Herz spaces ⋮ Commutators of Hausdorff operators on Herz-type Hardy spaces ⋮ Weighted Triebel-Lizorkin and Herz spaces estimates for p-adic Hausdorff type operator and its applications ⋮ On boundedness of multidimensional Hausdorff operator in weighted Lebesgue spaces ⋮ Some estimates for rough Hausdorff operators on the Heisenberg group ⋮ Two-weighted estimates for multilinear Hausdorff operators on the Morrey-Herz spaces ⋮ Hausdorff operator and commutator on weighted Morrey-Herz spaces on \(p\)-adic fields ⋮ Estimates for the product weighted Hardy-Littlewood average and its commutator on product central Morrey spaces ⋮ The \(p\)-adic Hausdorff operator and some applications to Hardy-Hilbert type inequalities ⋮ Generalized multilinear Hausdorff operators on the Heisenberg group ⋮ Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups ⋮ Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Bounds for the weighted Hardy-Cesàro operator and its commutator on Morrey-Herz type spaces
• Hausdorff operators on \(p\)-adic linear spaces and their properties in Hardy, \(BMO\), and Hölder spaces
• Weighted multilinear Hardy operators and commutators
• Multilinear Hardy-Cesáro operator and commutator on the product of Morrey-Herz spaces
• Hausdorff operators on function spaces
• Boundedness of sublinear operators in Herz-type Hardy spaces
• Maximal function characterizations of Hardy spaces on RD-spaces and their applications
• Hardy-Littlewood and Pitt's inequalities for Hausdorff operators
• Hardy-Steklov operators and duality principle in weighted Sobolev spaces of the first order
• The decomposition of weighted Herz space on \(\mathbb{R}^ n\) and its applications
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Boundedness of the Cesàro operator in Hardy spaces
• The weighted Herz-type Hardy space and its applications
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• A visual formalism for weights satisfying reverse inequalities
• A boundedness criterion via atoms for linear operators in Hardy spaces
• Multivariate Hausdorff operators on the spaces \(H^1(R^n)\) and \(BMO(R^n)\)
• Boundedness of sublinear operators in Hardy spaces on RD-spaces via atoms
• \(H^p\) spaces of several variables
• Hausdorff operators on the weighted Herz-type Hardy spaces
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• On the $H^1$--$L^1$ boundedness of operators
• Weighted Norm Inequalities for the Riemann-Liouville and Weyl Fractional Integral Operators
• A Theory of Hardy Spaces Associated to the Herz Spaces
• Some characterizations of weighted Herz-type Hardy spaces and their applications
• Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
• Pseudodifferential Operators and Wavelets over Real and p-adic Fields
• Hardy Spaces and Beurling Algebras
• Oscillatory Singular Integrals on Hardy Spaces Associated with Herz Spaces
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Boundedness of operators on Hardy spaces via atomic decompositions
• Multidimensional Hausdorff operators on the real Hardy space
• Weighted Norm Inequalities for the Hardy Maximal Function
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages

This page was built for publication: Two-weighted inequalities for Hausdorff operators in Herz-type Hardy spaces