Hausdorff operators on Morrey-type spaces

DOI10.1215/21562261-2019-0035zbMath1437.47013OpenAlexW2972793635MaRDI QIDQ2175450

Elijah Liflyand, Victor I. Burenkov

Publication date: 29 April 2020

Published in: Kyoto Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.kjm/1568340110

zbMATH Keywords

Morrey spaceHausdorff operatorglobal Morrey-type spacelocal Morrey-type space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Function spaces arising in harmonic analysis (42B35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators on function spaces (general) (47B38)

Related Items (11)

Commutators of Hausdorff operators on Herz-type Hardy spaces ⋮ Sharp constants for \(q\)-analogue of Hausdorff operators on central \(q\)-Morrey spaces ⋮ Boundedness of bilinear Dunkl–Hausdorff operators on products of Lebesgue and Morrey spaces ⋮ Weak and strong boundedness for \(p\)-adic fractional Hausdorff operator and its commutator ⋮ Two-weighted estimates for multilinear Hausdorff operators on the Morrey-Herz spaces ⋮ Order of approximation by partial Hausdorff integrals ⋮ Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces ⋮ Hausdorff operator and commutator on weighted Morrey-Herz spaces on \(p\)-adic fields ⋮ Approximation via Hausdorff operators ⋮ Generalized multilinear Hausdorff operators on the Heisenberg group ⋮ Multilinear Hausdorff operator and commutators on weighted Morrey and Herz spaces

Cites Work

• Hausdorff operators on the power weighted Hardy spaces
• Morrey spaces
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Hausdorff operators on Euclidean spaces
• Multidimensional Hausdorff operators and commutators on Herz-type spaces
• Multivariate Hausdorff operators on the spaces \(H^1(R^n)\) and \(BMO(R^n)\)
• The Hausdorff operators on the real Hardy spaces H^p(R)
• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• Matrix Analysis
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• Morrey-Campanato Spaces: an Overview
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations
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