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weighted Bergman spaces

Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces

Weighted composition operators on weighted Bergman spaces and weighted Bloch spaces

... of weighted composition operators from weighted Bergman spaces to weighted Bloch ...investigate weighted composition operators on weighted Bergman spaces and ...

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Compact differences of weighted composition operators on the weighted Bergman spaces

Compact differences of weighted composition operators on the weighted Bergman spaces

... of weighted composition operators on the standard weighted Bergman ...of weighted composition operators to be compact are given, which extends Moorhouse’s results in ...

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Product of composition and differentiation operators and closures of weighted Bergman spaces in Bloch type spaces

Product of composition and differentiation operators and closures of weighted Bergman spaces in Bloch type spaces

... of weighted Bergman spaces in Bloch type spaces are investigated in the ...type spaces to closures of weighted Bergman spaces spaces in Bloch type ...

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7. Difference of weighted composition operator from weighted Bergman spaces to weighted-type spaces

7. Difference of weighted composition operator from weighted Bergman spaces to weighted-type spaces

... two weighted composition operators from weighted Bergman spaces to weighted-type spaces in the unit ball by using the method of ...

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Composition operators on weighted Bergman spaces.

Composition operators on weighted Bergman spaces.

... In the following chapters I continue the work on composition operators on large weighted Bergman spaces initiated by Kriete and MacCluer in [8, 9, 7]. In the second chapter I look at unbounded ...

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Difference of composition operators on weighted Bergman spaces over the half plane

Difference of composition operators on weighted Bergman spaces over the half plane

... An extensive study on the theory of composition operators has been established dur- ing the past four decades on various settings. We refer to [–] for various aspects on the theory of composition operators acting on ...

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Weighted composition operators from weighted Bergman spaces with Békollé weights to Bloch type spaces

Weighted composition operators from weighted Bergman spaces with Békollé weights to Bloch type spaces

... compact weighted composition operator between different function ...of weighted composition operators on spaces of analytic functions on var- ious domains (see, for example, [–] and the related ...

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Hyponormal Toeplitz operators with polynomial symbols on weighted Bergman spaces

Hyponormal Toeplitz operators with polynomial symbols on weighted Bergman spaces

... A bounded linear operator A on a Hilbert space is said to be hyponormal if its selfcom- mutator [A ∗ , A] := A ∗ A – AA ∗ is positive (semidefinite). The hyponormality of Toeplitz operators on the Hardy space H  ( T ) of ...

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Extension of Zhu's solution to Lotto's conjecture on the weighted Bergman spaces

Extension of Zhu's solution to Lotto's conjecture on the weighted Bergman spaces

... (2) The same argument as in Zhu’s construction of a compact composition operator that is not in any of the Schatten-p ideals (see [4, Section 5]) can be transferred to the Bergman space case with a slight ...

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Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted Type Spaces

Weighted Composition Operators from Generalized Weighted Bergman Spaces to Weighted Type Spaces

... Some necessary and sufficient weighted Bergman space to the spaces Hμ∞ and Hμ,0 conditions for the weighted composition operator ψCϕ to be bounded and compact are given.. Throughout the pa[r] ...

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5. Weighted composition operators between  weighted Bergman and $S_p$ spaces

5. Weighted composition operators between weighted Bergman and $S_p$ spaces

... of weighted composition operators mapping A p α into S q for 1 ≤ p ≤ q < ...of weighted composition operators on analytic functions spaces is the notion of Carleson ...on weighted ...

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Norm estimates for weighted composition operators on spaces of holomorphic functions

Norm estimates for weighted composition operators on spaces of holomorphic functions

... a weighted composition operator on the Hardy–Hilbert space on the disc or half-plane im- plies its boundedness on a class of related spaces, including weighted Bergman ...

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Analytic Besov spaces and Hardy type inequalities in tube domains over symmetric cones

Analytic Besov spaces and Hardy type inequalities in tube domains over symmetric cones

... is unbounded (see eg the one dimensional theory in [29]). In addition, their definition is very closely linked with the validity of Hardy inequalities, and for this reason we take up this matter here, leaving to ...

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Product of differentiation and composition operators on the logarithmic Bloch space

Product of differentiation and composition operators on the logarithmic Bloch space

... Let X and Y be two Banach spaces. Recall that a linear operator T : X → Y is said to be compact if it takes bounded sets in X to sets in Y which have compact closure. The essen- tial norm of an operator T between ...

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Products of differentiation and weighted composition operators from hardy spaces to weighted-type spaces

Products of differentiation and weighted composition operators from hardy spaces to weighted-type spaces

... for all finite values of p. In this paper we consider only radial weights, these arise from the positive and continuous functions µ : [0, 1) → (0, ∞). We define µ on D as µ (z) = µ (|z|) for each z ∈ D . Given a radial ...

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Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space

Essential norm of generalized weighted composition operators from the Bloch space to the Zygmund space

... [, , , ]. For the study of the generalized weighted composition operator on various function spaces see, for example, [–]. Recently there has been a huge interest in the study of various related ...

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Vol 2, No 9 (2011)

Vol 2, No 9 (2011)

... [3] Richter S., Unitary equivalence of invariant subspaces of Bergman and Dirichlet spaces, Pacific J.. L., Weighted shift operators and analytic function theory, Math[r] ...

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Bergman spaces of temperature functions on a cylinder

Bergman spaces of temperature functions on a cylinder

... the weighted Bergman space b p β (S T ) consisting of temperature func- tions on the cylinder S T = S 1 × (0, T ) and belonging to L p (Ω T , t β dxdt), where Ω T = (0,2) × (0, T ...

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Riemann Stieltjes operators between Bergman type spaces and
α Bloch spaces

Riemann Stieltjes operators between Bergman type spaces and α Bloch spaces

... is closely related to the previous operator and on many spaces the boundedness of these two operators is equivalent. It is well known that Ces`aro operator acts as a bounded linear operator on various analytic ...

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Double Integral Characterization for Bergman Spaces

Double Integral Characterization for Bergman Spaces

... characterize Bergman spaces with respect to double integral of the functions |f (z)−f(w)|/|z−w|, |f(z)−f(w)|/ρ(z, w) and |f(z) − f (w)|/β(z, w), where ρ and β are the pseudo-hyperbolic and hyperbolic ...

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