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Weighted composition operator on Gamma spaces with variable exponent
In a self contained presentation we discuss the Gamma functions spaces with variable exponent. As an application we investigate the boundedness,...
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Products of composition operator and differentiation operator of order n on the Hardy space
We consider the products of composition operator and differentiation operator of order n on the Hardy space. We provide a complete characterization...
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Composition of the Cesàro Operator and Its Transpose
In this study, by the composition of Cesàro operator with its transpose, we obtain two interesting operators which are Hilbert’s commutants....
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Resolvent of the parallel composition and the proximity operator of the infimal postcomposition
In this paper we provide the resolvent computation of the parallel composition of a maximally monotone operator by a linear operator under mild...
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Germs of operator and polynomial ideals with applications to composition operators
Germs of operator ideals and of polynomial ideals are introduced to study special classes of nonlinear operators and of linear operators between...
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Weighted Composition Operators on \(\mathbb {D}\)
Throughout this chapter, \(\varphi \) denotes a... -
Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces
In this paper, the hypercyclic behavior of multiples of composition operators induced by linear fractional self-maps of unit disk on the weighted...
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On a new Kantorovich operator based on Hermite polynomials
In this article, we construct a generalized Kantorovich operator based on Hermite polynomials of three variable to approximate integrable functions....
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Spectral Estimates of the Dirichlet-Laplace Operator in Conformal Regular Domains
We consider conformal spectral estimates of the Dirichlet–Laplace operator in conformal regular domains Ω ⊂ ℝ 2 , based on the geometric theory of...
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Composition operators on variable exponent Lebesgue spaces
We study composition operators between variable exponent Lebesgue spaces and characterize boundedness and compactness of the composition operators on...
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Composition operators with closed range on the Dirichlet space
It is well known that the composition operator on Hardy or Bergman space has a closed range if and only if its Nevanlinna counting function induces a...
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Operator Norms
The above inequality is a crucial property shared by the induced uniform norm of bounded linear transformations, referred to as the operator norm... -
Composition of integral-type operators and discrete operators involving Laguerre polynomials
In this note we provide a new way to capture operators involving Laguerre polynomials by composition of an integral operator and a discrete operator....
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Weighted Composition Operators That Preserve Frames On Weighted Hardy Spaces
In this paper, we characterize weighted composition operators that preserve frames on the weighted Hardy spaces in the unit disk. In particular, we...
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Operator-Adapted Spaces
Operator-adapted Hardy–Sobolev spaces are our main tool in this monograph and will be essential for understanding most of the following chapters.... -
Composition Operators on Weighted Bergman Spaces of Polydisk
We study composition operators between the weighted Bergman space of the polydisk and the weighted Bergman space of the unit disk. We find conditions...