Norm of the Bergman projection onto the Bloch space
نویسندگان
چکیده
منابع مشابه
The Bergman Spaces, the Bloch Space, and Gleason's Problem
Suppose / is a holomorphic function on the open unit ball Bn of Cn. For 1 < p < oo and to > 0 an integer, we show that / is in Lp(Bn,dV) (with dV the volume measure) iff all the functions dmf/dza (\a\ = to) are in Lp(Bn,dV). We also prove that / is in the Bloch space of Bn iff all the functions dmf/dza (\a\ = m) are bounded on Bn. The corresponding result for the little Bloch space of Bn is est...
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Let ϕ(z) = (ϕ 1 (z),...,ϕ n (z)) be a holomorphic self-map of D n and ψ(z) a holomorphic function on D n , where D n is the unit polydiscs of C n. Let 0 < α, β < 1, we compute the essential norm of a weighted composition operator ψC ϕ between α-Bloch space Ꮾ α (D n) and β-Bloch space Ꮾ β (D n).
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ژورنال
عنوان ژورنال: Journal of Operator Theory
سال: 2015
ISSN: 0379-4024,1841-7744
DOI: 10.7900/jot.2013sep24.2006