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On an integral-type operator from Privalov spaces to Bloch-type spaces

100%

Zhu X.

Annales Polonici Mathematici

2011

tom 101

nr 2

139-147

Let H(B) denote the space of all holomorphic functions on the unit ball B of ℂⁿ. Let φ be a holomorphic self-map of B and g ∈ H(B) such that g(0) = 0. We study the integral-type operator $C_φ^g f(z) = ∫_0^1 ℜf(φ(tz))g(tz) dt/t$, f ∈ H(B). The boundedness and compactness of $C_φ^g$ from Privalov spaces to Bloch-type spaces and little Bloch-type spaces are studied

Differences of generalized weighted composition operators between growth spaces

63%

Yang W., Zhu X.

Annales Polonici Mathematici

2014

tom 112

nr 1

67-83

Let φ and ψ be analytic self-maps of 𝔻. Using the pseudo-hyperbolic distance ρ(φ,ψ), we completely characterize the boundedness and compactness of the difference of generalized weighted composition operators between growth spaces.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Zhu X.

1 Yang W.

1 2014

1 2011

Wyniki wyszukiwania

On an integral-type operator from Privalov spaces to Bloch-type spaces

Differences of generalized weighted composition operators between growth spaces