Hilbert-type inequalities in homogeneous cones

DOI10.4171/RLM/916zbMath1486.47052OpenAlexW3130957692MaRDI QIDQ2039124

Gustavo Garrigós, Cyrille Nana

Publication date: 2 July 2021

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/916

zbMATH Keywords

Bergman projectionshomogeneous conesSchur testT-algebras

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Inequalities for sums, series and integrals (26D15) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Kernel operators (47B34)

Related Items (4)

The boundedness of Forelli-Rudin type operators on the Siegel upper half space ⋮ Boundedness of Bergman projectors on homogeneous Siegel domains ⋮ Complex interpolation between two mixed norm Bergman spaces in tube domains over homogeneous cones ⋮ On the theory of Bergman spaces on homogeneous Siegel domains

Cites Work

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• Boundedness of a family of Hilbert-type operators and its Bergman-type analogue
• Estimates for translation invariant operators in \(L^p\) spaces
• Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones
• Lebesgue mixed norm estimates for Bergman projectors: from tube domains over homogeneous cones to homogeneous Siegel domains of type II
• On spaces of potentials connected with \(L^ p\) classes
• Analytic Besov spaces and Hardy-type inequalities in tube domains over symmetric cones
• Lp-Boundedness of Bergman projections in tube domains over homogeneous cones
• Bergman-type operators in tubular domains over symmetric cones
• Estimates for the Bergman and Szegö projections in two symmetric domains of $ℂ^{n}$
• Littlewood–Paley decompositions related to symmetric cones and Bergman projections in tube domains
• Reproducing properties and $L^p$-estimates for Bergman projections in Siegel domains of type II
• On inequalities for integral operators
• Boundedness of Bergman projections on tube domains over light cones

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