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Boundedness and compactness of weighted composition operators between weighted Bergman spaces

100%

Wolf E.

Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

2012

tom 66

nr 1

We study when a weighted composition operator acting between different weighted Bergman spaces is bounded, resp. compact.

Approximation numbers of composition operators on Hp

70%

Li D., Queffélec H., Rodríguez-Piazza L.

Concrete Operators

2015

tom 2

nr 1

give estimates for the approximation numbers of composition operators on the Hp spaces, 1 ≤ p < ∞

Uniformly continuous composition operators in the space of functions of two variables of bounded $\varphi$-variation in the sense of Wiener

70%

Guerrero J. A., Matkowski J., Merentes N.

Commentationes Mathematicae

2010

tom 50

nr 1

Assume that the generator of a Nemytskii composition operator is a function of three variables: the first two real and third in a closed convex subset of a normed space, with values in a real Banach space. We prove that if this operator maps a certain subset of the Banach space of functions of two real variables of bounded Wiener $\varphi$-variation into another Banach space of a similar type, and is uniformly continuous, then the one-sided regularizations of the generator are affine in the third variable.

Composition operators: $N_α$ to the Bloch space to $Q_β$

61%

Xiao J.

Studia Mathematica

2000

tom 139

nr 3

245-260

Let $N_α$,B and Q_β be the weighted Nevanlinna space, the Bloch space and the Q space, respectively. Note that B and $Q_β$ are Möbius invariant, but $N_α$ is not. We characterize, in function-theoretic terms, when the composition operator $C_ϕ f=f◦ϕ$ induced by an analytic self-map ϕ of the unit disk defines an operator $C_ϕ:N_α→B$, $B→Q_β$, $N_α→Q_β$ which is bounded resp. compact.

Ograniczanie wyników

1 Annales Universitatis Mariae Curie-Skłodowska, sectio A – Mathematica

1 Commentationes Mathematicae

1 Concrete Operators

1 Studia Mathematica

1 Guerrero J. A.

1 Li D.

1 Matkowski J.

1 Merentes N.

1 Queffélec H.

1 Rodríguez-Piazza L.

1 Wolf E.

1 Xiao J.

1 2015

1 2012

1 2010

1 2000

Wyniki wyszukiwania

Boundedness and compactness of weighted composition operators between weighted Bergman spaces

Approximation numbers of composition operators on Hp

Uniformly continuous composition operators in the space of functions of two variables of bounded \(\varphi\)-variation in the sense of Wiener

Composition operators: $N_α$ to the Bloch space to $Q_β$