Generalized Hausdorff operators between weighted spaces

DOI10.1216/rmj.2022.52.1683OpenAlexW4385640439MaRDI QIDQ2106264

Kalaivani Kamalakkannan

Publication date: 14 December 2022

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-5/Generalized-Hausdorff-operators-between-weighted-spaces/10.1216/rmj.2022.52.1683.full

zbMATH Keywords

weighted spacesHausdorff operatorgeneralized Hardy-Cesàro operator

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators on function spaces (general) (47B38) Kernel operators (47B34)

Cites Work

• The Hausdorff operators on the real Hardy spaces H^p(R)
• Boundedness of the Hausdorff operators in H^pspaces, 0<p<1
• GENERALIZED HARDY–CESÀRO OPERATORS BETWEEN WEIGHTED SPACES
• The Hausdorff operator is bounded on the real Hardy space 𝐻¹(ℝ)
• \(L^p\) and BMO bounds of weighted Hardy-Littlewood averages
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