Boundedness of multidimensional Hausdorff operator on Hardy-Morrey and Besov-Morrey spaces

DOI10.1186/s13660-016-1244-4zbMath1352.42017OpenAlexW2555526432WikidataQ59468561 ScholiaQ59468561MaRDI QIDQ343567

Belay Mitiku Damtew

Publication date: 28 November 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-016-1244-4

zbMATH Keywords

boundednessatomic decompositionBesov-Morrey spaceHardy-Morrey spaceHausdorff operator

Mathematics Subject Classification ID

Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (2)

A characterization of two-weight norm inequalities for multidimensional Hausdorff operators on Lebesgue spaces ⋮ Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

Cites Work

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• Hausdorff operators on the power weighted Hardy spaces
• The fractional Hausdorff operators on the Hardy spaces \(H^p(\mathbb{R}^n)\)
• Characterizations of Morrey type Besov and Triebel-Lizorkin spaces with variable exponents
• Atomic decomposition of Besov spaces with variable smoothness and integrability
• Hausdorff operators on function spaces
• Decomposition of Hardy--Morrey spaces
• Boundedness of Hausdorff operators on some product Hardy type spaces
• Decompositions of Besov-Morrey spaces and Triebel-Lizorkin-Morrey spaces
• Decomposition for Morrey type Besov-Triebel spaces
• Semilinear heat equations and the navier-stokes equation with distributions in new function spaces as initial data
• Multidimensional Hausdorff operators on the real Hardy space

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