Bloch space and the norm of the Bergman projection

DOI10.5186/AASFM.2013.3850zbMath1295.30127OpenAlexW2333707128MaRDI QIDQ2860905

Antti Perälä

Publication date: 11 November 2013

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2013.3850

zbMATH Keywords

Bergman projectionBloch spaceoperator norm

Mathematics Subject Classification ID

Other spaces of holomorphic functions of several complex variables (e.g., bounded mean oscillation (BMOA), vanishing mean oscillation (VMOA)) (32A37) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25) Bloch spaces (30H30)

Related Items (13)

Norm estimates for the Bergman and Cauchy-Szegö projections over the Siegel upper half-space ⋮ The precise norm of a class of Forelli-Rudin type operators on the Siegel upper half space ⋮ SCHWARZ LEMMA FOR HOLOMORPHIC MAPPINGS IN THE UNIT BALL ⋮ Norm estimates of the Cauchy transform and related operators ⋮ General fractional derivatives and the Bergman projection ⋮ Sharp constant for the Bergman projection onto the minimal Möbius invariant space ⋮ Two-sided norm estimates for Bergman-type projections with an asymptotically sharp lower bound ⋮ Sharp Forelli-Rudin estimates and the norm of the Bergman projection ⋮ Norm of the Bergman projection onto the Bloch space with M-invariant gradient norm ⋮ Norm estimates for weighted Bergman projection on the upper half plane ⋮ On the Forelli-Rudin projection theorem ⋮ Norm of a Bloch-type projection ⋮ Cauchy and Bergman projection, sharp gradient estimates and certain operator norm equalities

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