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- W4300629376 abstract "<abstract><p>Let $ u_{j} $ be the holomorphic functions on the open unit ball $ mathbb{B} $ in $ mathbb{C}^{n} $, $ j = overline{0, m} $, $ varphi $ a holomorphic self-map of $ mathbb{B} $, and $ Re^{j} $ the $ j $th iterated radial derivative operator. In this paper, the boundedness and compactness of the sum operator $ mathfrak{S}^m_{vec{u}, varphi} = sum_{j = 0}^m M_{u_j}C_varphiRe^j $ from the mixed-norm space $ H(p, q, phi) $, where $ 0 < p, q < +infty $, and $ phi $ is normal, to the weighted-type space $ H^infty_mu $ are characterized. For the mixed-norm space $ H(p, q, phi) $, $ 1leq p < +infty $, $ 1 < q < +infty $, the essential norm estimate of the operator is given, and the Hilbert-Schmidt norm of the operator on the weighted Bergman space $ A^2_alpha $ is also calculated.</p></abstract>" @default.
- W4300629376 created "2022-10-03" @default.
- W4300629376 creator A5065754838 @default.
- W4300629376 creator A5070178366 @default.
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- W4300629376 date "2022-01-01" @default.
- W4300629376 modified "2023-10-01" @default.
- W4300629376 title "Sum of some product-type operators from mixed-norm spaces to weighted-type spaces on the unit ball" @default.
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- W4300629376 doi "https://doi.org/10.3934/math.20221001" @default.
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