Lebesgue mixed norm estimates for Bergman projectors: from tube domains over homogeneous cones to homogeneous Siegel domains of type II

DOI10.1007/s00208-018-1731-7zbMath1435.32005arXiv1703.07854OpenAlexW2599716288MaRDI QIDQ2423418

Cyrille Nana, Jocelyn Gonessa, David Bekollé

Publication date: 21 June 2019

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07854

zbMATH Keywords

Bergman projectionSiegel domainsmixed norm estimates

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 symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Hilbert spaces with reproducing kernels (= (proper) functional Hilbert spaces, including de Branges-Rovnyak and other structured spaces) (46E22) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

Related Items

Boundedness of Bergman projectors on homogeneous Siegel domains ⋮ Besov spaces of analytic type: interpolation, convolution, Fourier multipliers, inclusions ⋮ Complex interpolation between two mixed norm Bergman spaces in tube domains over homogeneous cones ⋮ On the theory of Bergman spaces on homogeneous Siegel domains ⋮ Toeplitz and Hankel operators from Bergman to analytic Besov spaces of tube domains over symmetric cones ⋮ Holomorphic function spaces on homogeneous Siegel domains ⋮ Off-diagonal estimates of some Bergman-type operators of tube domains over symmetric cones ⋮ Hilbert-type inequalities in homogeneous cones ⋮ Atomic decomposition and interpolation via the complex method for mixed norm Bergman spaces on tube domains over symmetric cones

Cites Work

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