Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space

DOI10.1134/S2070046617030062zbMath1496.42034OpenAlexW2740879754MaRDI QIDQ1703752

Sergey S. Volosivets

Publication date: 7 March 2018

Published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s2070046617030062

zbMATH Keywords

interpolationLorentz spacecommutatorHausdorff operatorweak type

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Geometry and structure of normed linear spaces (46B20)

Related Items (12)

P-adic weak central Morrey spaces on differential forms ⋮ Estimates for commutators of bilinear fractional \(p\)-adic Hardy operator on Herz-type spaces ⋮ Weighted inequalities for commutators of \(p\)-adic Hausdorff operators on Herz spaces ⋮ Some weighted estimates for the commutators of \(p\)-adic Hardy operator on two weighted \(p\)-adic Herz-type spaces ⋮ Rough Hausdorff operators on Lebesgue spaces with variable exponent ⋮ Two-weight estimates for Hardy-Littlewood maximal functions and Hausdorff operators on $p$-adic Herz spaces ⋮ Some estimates for \(p\)-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces ⋮ Boundedness for commutators of rough \(p\)-adic Hardy operator on \(p\)-adic central Morrey spaces ⋮ The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces ⋮ Weighted estimates for commutator of rough \(p\)-adic fractional Hardy operator on weighted \(p\)-adic Herz-Morrey spaces ⋮ Optimal weak type estimates for \(p\)-adic Hardy operators ⋮ The boundedness of commutators of rough \(p\)-adic fractional Hardy type operators on Herz-type spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hausdorff operators on function spaces
• Estimates of weighted Hardy--Littlewood averages on the \(p\)-adic vector space
• Multivariate Hausdorff operators on the spaces \(H^1(R^n)\) and \(BMO(R^n)\)
• Convolutions and general transforms on \(L^ p\)
• Weak and strong type estimates for the commutators of Hausdorff operators
• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages

This page was built for publication: Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space