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Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains

100%

Yang X.

Open Mathematics

2013

tom 11

nr 1

74-84

We characterize the Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains in terms of the Berezin transform.

New criteria for boundedness and compactness of weighted composition operators mapping into the Bloch space

88%

Colonna F.

Open Mathematics

2013

tom 11

nr 1

55-73

Let ψ and φ be analytic functions on the open unit disk $\mathbb{D}$ with φ($\mathbb{D}$) ⊆ $\mathbb{D}$. We give new characterizations of the bounded and compact weighted composition operators W ψ,ϕ from the Hardy spaces H p, 1 ≤ p ≤ ∞, the Bloch space B, the weighted Bergman spaces A αp, α > − 1,1 ≤ p < ∞, and the Dirichlet space $\mathcal{D}$ to the Bloch space in terms of boundedness (respectively, convergence to 0) of the Bloch norms of W ψ,ϕ f for suitable collections of functions f in the respective spaces. We also obtain characterizations of boundedness for H 1 as well as of compactness for H p, 1 ≤ p < ∞, and $\mathcal{D}$ purely in terms of the symbols ψ and φ.

A Berezin-type map and a class of weighted composition operators

88%

Das N.

Concrete Operators

2017

tom 4

nr 1

18-31

In this paper we consider the map L defined on the Bergman space [...] of the right half plane [...] .

Ograniczanie wyników

2 Open Mathematics

1 Concrete Operators

1 Colonna F.

1 Das N.

1 Yang X.

1 2017

2 2013

Wyniki wyszukiwania

Schatten class weighted composition operators on Bergman spaces of bounded strongly pseudoconvex domains

New criteria for boundedness and compactness of weighted composition operators mapping into the Bloch space

A Berezin-type map and a class of weighted composition operators