Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space
type: Item
instance of: scholarly article
title: Weak and strong estimates for rough Hausdorff type operator defined on \(p\)-adic linear space
zbMATH Open document ID: 1496.42034
DOI: 10.1134/S2070046617030062
published in: \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
publication date: 2018-03-07T00:00:00Z
Mathematics Subject Classification ID: 42B35
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 6847852
zbMATH Keywords: Hausdorff operator
zbMATH Keywords: commutator
zbMATH Keywords: weak type
zbMATH Keywords: Lorentz space
zbMATH Keywords: interpolation
author: S. S. Volosivets
MaRDI profile type: Publication
cites work: Q4003475
cites work: Q4138813
cites work: Q4039801
cites work: Q5788558
cites work: Convolutions and general transforms on \(L^ p\)
cites work: The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
cites work: Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
cites work: Multivariate Hausdorff operators on the spaces \(H^1(R^n)\) and \(BMO(R^n)\)
cites work: \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages
cites work: Estimates of weighted Hardy--Littlewood averages on the \(p\)-adic vector space
cites work: Hausdorff operators on function spaces
cites work: Weak and strong type estimates for the commutators of Hausdorff operators
full work available at URL: s2070046617030062
OpenAlex ID: W2740879754
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description: scientific article; zbMATH DE number 6847852