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- W3196145666 abstract "We establish characterizations of the radial weights ω on the unit disc such that the Bergman projection Pω, induced by ω, is bounded and/or acts surjectively from L∞ to the Bloch space B, or the dual of the weighted Bergman space Aω1 is isomorphic to the Bloch space under the Aω2-pairing. We also solve the problem posed by Dostanić in 2004 of describing the radial weights ω such that Pω is bounded on the Lebesgue space Lωp, under a weak regularity hypothesis on the weight involved. With regard to Littlewood-Paley estimates, we characterize the radial weights ω such that the norm of any function in Aωp is comparable to the norm in Lωp of its derivative times the distance from the boundary. This last-mentioned result solves another well-known problem on the area. All characterizations can be given in terms of doubling conditions on moments and/or tail integrals ∫r1ω(t)dt of ω, and are therefore easy to interpret." @default.
- W3196145666 created "2021-08-30" @default.
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- W3196145666 date "2021-11-01" @default.
- W3196145666 modified "2023-10-15" @default.
- W3196145666 title "Bergman projection induced by radial weight" @default.
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- W3196145666 doi "https://doi.org/10.1016/j.aim.2021.107950" @default.
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