Sharp norm estimates for weighted Bergman projections in the mixed norm spaces

DOI10.3103/S1068362318060031OpenAlexW2905078101MaRDI QIDQ2331928

Jocelyn Gonessa

Publication date: 31 October 2019

Published in: Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1068362318060031

zbMATH Keywords

Bergman spaceBergman projectionSiegel domain

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) Integral operators (47G10) Banach spaces of continuous, differentiable or analytic functions (46E15)

Cites Work

• \(L^{p,q}\)-boundedness of Bergman projections in homogeneous Siegel domains of type II
• A sharp norm estimate for weighted Bergman projections on the minimal ball
• Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains
• Integral representations for some classes of functions holomorphic in a Siegel domain
• Lp-Boundedness of Bergman projections in tube domains over homogeneous cones
• Integral Representations for Riesz Systems in the Unit Ball and some Applications
• Spaces of Holomorphic Functions in the Unit Ball
• On the Rate of Growth of Mean Values of Holomorphic and Harmonic Functions
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