On the structure of normal Hausdorff operators on Lebesgue spaces

DOI10.1134/S0016266319040038zbMath1445.47027arXiv1812.02680OpenAlexW3003280855MaRDI QIDQ2191806

Yanyan Li

Publication date: 26 June 2020

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.02680

zbMATH Keywords

spectrumspectral representationCesàro operatornormal operatorHausdorff operatorsymbol of 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) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Linear operators on function spaces (general) (47B38)

Related Items (5)

A Hausdorff operator with commuting family of perturbation matrices is a non-Riesz operator ⋮ On the symbol calculus for multidimensional Hausdorff operators ⋮ To the spectral theory of discrete Hausdorff operators ⋮ On algebras of Hausdorff operators on the real line ⋮ On the description of multidimensional normal Hausdorff operators on Lebesgue spaces

Cites Work

• Boundedness of Hausdorff operators on real Hardy spaces \(H^{1}\) over locally compact groups
• Multivariate Hausdorff operators on the spaces \(L^p(\mathbb R^n)\)
• Hausdorff operators on Euclidean spaces
• On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
• The Hausdorff Mean of a Fourier-Stieltjes Transform
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Multidimensional Hausdorff operators on the real Hardy space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the structure of normal Hausdorff operators on Lebesgue spaces