Weighted Morrey estimates for Hausdorff operator and its commutator on the Heisenberg group

DOI10.7153/mia-2019-22-24zbMath1439.42033arXiv1712.10328OpenAlexW2963268058WikidataQ128462517 ScholiaQ128462517MaRDI QIDQ5223488

Fan, Dashan, Jianmiao Ruan, Qing Yan Wu

Publication date: 18 July 2019

Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.10328

zbMATH Keywords

weightsHeisenberg groupcommutatorMorrey spacesHausdorff operator

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) Nilpotent and solvable Lie groups (22E25)

Related Items

A Hausdorff operator with commuting family of perturbation matrices is a non-Riesz operator, Some estimates for rough Hausdorff operators on the Heisenberg group, 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, Weighted estimates for commutators of Hausdorff operators on the Heisenberg group, Some estimates for \(p\)-adic rough multilinear Hausdorff operators and commutators on weighted Morrey-Herz type spaces, Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups, Generalized multilinear Hausdorff operators on the Heisenberg group, Hausdorff operators on real Hardy spaces \(H^1\) over homogeneous spaces with local doubling property, Rough Hausdorff operator and its commutators on the Heisenberg group, Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group, The weighted \(L^p\) and \(\text{BMO}\) estimates for fractional Hausdorff operators on the Heisenberg group, Weighted central BMO type space estimates for commutators of \(p\)-adic Hardy-Cesàro operators, Multilinear Hausdorff operators on weighted Herz and Morrey-Herz spaces with variable exponent, Two-weighted estimates for multilinear Hausdorff operators and commutators on stratified groups

Cites Work

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• Hausdorff operators on the power weighted Hardy spaces
• The fractional Hausdorff operators on the Hardy spaces \(H^p(\mathbb{R}^n)\)
• Weighted \(p\)-adic Hardy operators and their commutators on \(p\)-adic central Morrey spaces
• Hausdorff operators on function spaces
• Morrey spaces in harmonic analysis
• Old and new Morrey spaces with heat kernel bounds
• Quasiconformal mappings on the Heisenberg group
• Spaces of bounded \(\lambda\)-central mean oscillation, Morrey spaces, and \(\lambda\)-central Carleson measures
• Hardy space estimates of Hausdorff operators on the Heisenberg group
• Commuting relations for Hausdorff operators and Hilbert transforms on real Hardy spaces
• Boundedness of the Cesàro operator in Hardy spaces
• Sharp reverse Hölder property for \(A_\infty\) weights on spaces of homogeneous type
• Weighted Herz space estimates for Hausdorff operators on the Heisenberg group
• Hausdorff operators on Euclidean spaces
• A visual formalism for weights satisfying reverse inequalities
• Boundedness of multidimensional Hausdorff operators on \(H^1(\mathbb R^n)\)
• Necessary and sufficient conditions for generalized Hausdorff operators and commutators
• 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)
• Hausdorff operators on the weighted Herz-type Hardy spaces
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• Weighted Morrey spaces and a singular integral operator
• Boundedness of multidimensional Hausdorff operators on $L^1$ and $H^1$ spaces
• On the role of the Heisenberg group in harmonic analysis
• Morrey Spaces on Spaces of Homogeneous Type and Estimates for □_b and the Cauchy‐Szegö Projection
• Hausdorff type operators on the power weighted Hardy spaces H|·|αp(Rn)
• Hardy Spaces on Homogeneous Groups. (MN-28), Volume 28
• THE BOUNDEDNESS OF THE HAUSDORFF OPERATOR ON MULTI-DIMENSIONAL HARDY SPACES
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space
• Weighted Norm Inequalities for the Hardy Maximal Function
• On the Solutions of Quasi-Linear Elliptic Partial Differential Equations