The Hausdorff operator on weighted \(p\)-adic Morrey and Herz type spaces

DOI10.1134/S2070046619020055zbMath1478.42022OpenAlexW2943738690MaRDI QIDQ2281429

Naqash Sarfraz, Amjad Hussain

Publication date: 19 December 2019

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

Full work available at URL: https://doi.org/10.1134/s2070046619020055

zbMATH Keywords

matrixsharp estimatesHausdorff operator\(p\)-adic weighted Morrey space\(p\)-adic weighted Morrey-Herz space

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Linear operators on function spaces (general) (47B38) Normed fields (12J05)

Related Items (13)

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 ⋮ Dilation operators in Besov spaces over local fields ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Boundedness for commutators of rough \(p\)-adic Hardy operator on \(p\)-adic central Morrey spaces ⋮ Weighted estimates for commutator of rough \(p\)-adic fractional Hardy operator on weighted \(p\)-adic Herz-Morrey spaces ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group ⋮ 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 ⋮ Singular integral operators for rearrangement-invariant Morrey spaces on local fields ⋮ Some estimates for \(p\)-adic fractional integral operator and its commutators on \(p\)-adic Herz spaces with rough kernels

Cites Work

• Unnamed Item
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• The \(p\)-adic weighted Hardy-Cesàro operators on weighted Morrey-Herz space
• Hausdorff operators on \(p\)-adic linear spaces and their properties in Hardy, \(BMO\), and Hölder spaces
• Bounds of \(p\)-adic weighted Hardy-Cesàro operators and their commutators on \(p\)-adic weighted spaces of Morrey types
• Boundedness of Hausdorff operators on the power weighted Hardy spaces
• Some weighted inequalities for Hausdorff operators and commutators
• Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space
• Multidimensional Hausdorff operator on \(p\)-adic field
• Boundedness of Hausdorff operators on Hardy spaces in the Heisenberg group
• Boundedness of Hausdorff operators on Lebesgue spaces and Hardy spaces
• Weighted Herz space estimates for Hausdorff operators on the Heisenberg group
• SHARP CONSTANTS FOR MULTIVARIATE HAUSDORFF -INEQUALITIES
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
• The multi-parameter Hausdorff operators on H^1 and L^p
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Some results for the commutators of generalized Hausdorff operator
• Multidimensional Hausdorff operators on the real Hardy space
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages

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