On the symbol calculus for multidimensional Hausdorff operators

DOI10.1007/s10958-023-06610-yarXiv2306.14007OpenAlexW4386695605MaRDI QIDQ6123065

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Publication date: 4 March 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.14007

zbMATH Keywords

Fourier transformconvolutionpositive definitenessholomorphic functionsymbolmatrix symbolcommutative algebrafractional powerHausdorff operatorcommuting family

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Linear operators on function spaces (general) (47B38)

Cites Work

• The Wiener algebra of absolutely convergent Fourier integrals: an overview
• Hausdorff operators on Euclidean spaces
• On the structure of normal Hausdorff operators on Lebesgue spaces
• On the description of multidimensional normal Hausdorff operators on Lebesgue spaces
• The spectral radius of averaging operators
• Iterating the Cesàro operators
• Boundedness of multidimensional Hausdorff operators in 𝐻^{𝑝} spaces, 0<𝑝<1
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• Defining Hausdorff operators on Euclidean spaces
• Spaces Between a Pair of Reflexive Lebesgue Spaces
• On algebras of Hausdorff operators on the real line
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