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Weighted composition operators between a weighted-type space and the Hardy space on the unit ball

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Zhou Z.-H., Liang Y.-X., Dong X.-T.

Annales Polonici Mathematici

2012

tom 104

nr 3

309-319

This paper characterizes the boundedness and compactness of weighted composition operators between a weighted-type space and the Hardy space on the unit ball of ℂⁿ.

Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball

100%

Liang Y.-X., Wang C.-J., Zhou Z.-H.

Annales Polonici Mathematici

2015

tom 114

nr 2

101-114

Let H(𝔹) denote the space of all holomorphic functions on the unit ball 𝔹⊂ ℂⁿ. Let φ be a holomorphic self-map of 𝔹 and u∈ H(𝔹). The weighted composition operator $uC_φ$ on H(𝔹) is defined by $uC_φf(z) = u(z)f(φ(z))$. We investigate the boundedness and compactness of $uC_φ$ induced by u and φ acting from Zygmund spaces to Bloch (or little Bloch) spaces in the unit ball.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Liang Y.-X.

2 Zhou Z.-H.

1 Dong X.-T.

1 Wang C.-J.

1 2015

1 2012

Wyniki wyszukiwania

Weighted composition operators between a weighted-type space and the Hardy space on the unit ball

Weighted composition operators from Zygmund spaces to Bloch spaces on the unit ball