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Weighted composition operator

Essential norm of weighted composition operator between α Bloch space and β Bloch space in polydiscs

Essential norm of weighted composition operator between α Bloch space and β Bloch space in polydiscs

... Let ϕ(z) = (ϕ 1 (z),...,ϕ n (z)) be a holomorphic self-map of D n and ψ(z) a holomorphic function on D n , where D n is the unit polydiscs of C n . Let 0 < α, β < 1, we compute the essential norm of a ...

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Fredholmness of multiplication of a weighted composition operator with its adjoint on \(H^{2}\) and \(A {\alpha}^{2}\)

Fredholmness of multiplication of a weighted composition operator with its adjoint on \(H^{2}\) and \(A {\alpha}^{2}\)

... bounded operator. The operator A is said to be left semi-Fredholm if there are a bounded operator B : H → H and a compact operator K on H such that BA = I + K ...bounded operator B : H ...

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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 composition operators or two weighted composition ...of composition operators is to understand the topological structure of the set of composition operators acting on a given ...

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Generalized weighted composition operators on Bloch type spaces

Generalized weighted composition operators on Bloch type spaces

... generalized weighted composition operators on Bloch-type spaces, especially we characterize them in terms of the sequence of Bloch-type norms of the generalized weighted composition ...

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Fredholm Weighted Composition Operators on Dirichlet Space

Fredholm Weighted Composition Operators on Dirichlet Space

... As corollaries, in the end of this paper one gives the characterization of bounded invertible and unitary weighted composition operator on D, respectively. Some idea of this paper is derived from 4, ...

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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 ...

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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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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 ...

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BMO and Lipschitz norm estimates for the composition of Green’s operator and the potential operator

BMO and Lipschitz norm estimates for the composition of Green’s operator and the potential operator

... geneous A-harmonic equation (.) in a bounded convex domain , P be the potential operator defined in (.) with the kernel K (x, y) satisfying the condition () of the standard estimates (.) and G be Green’s ...

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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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Global Estimates for Singular Integrals of the Composition of the Maximal Operator and the Green's Operator

Global Estimates for Singular Integrals of the Composition of the Maximal Operator and the Green's Operator

... the composition of the homotopy operator T and the projection operator H and established some inequalities for these composite operators with singular ...the composition of the maximal ...

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Strongly singular Calderón Zygmund operators and commutators on weighted Morrey spaces

Strongly singular Calderón Zygmund operators and commutators on weighted Morrey spaces

... Calderón-Zygmund operator comes back to the classical Calderón-Zygmund op- ...Calderón-Zygmund operator and its commutator on weighted Morrey spaces as corollaries of Theorem ...

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Some Estimates of Integrals with a Composition Operator

Some Estimates of Integrals with a Composition Operator

... the composition of the homotopy operator T, differential operator d, and Green’s operator G under Lipschitz and BMO ...this composition operator is due to the Hodge ...Green’s ...

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Composition Operator on Bergman Orlicz Space

Composition Operator on Bergman Orlicz Space

... of composition operators is also an important subject on other analytic function spaces, and we have chosen two typical examples above, and for more related materials one can consult 7, 8 ...the composition ...

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FINANCING SELECTION METHOD IN DISCIPLINE EVALUATION USING A WEIGHTED INDUCED MODEL

FINANCING SELECTION METHOD IN DISCIPLINE EVALUATION USING A WEIGHTED INDUCED MODEL

... The rest of this paper is set out as follows. In next section we give some basic knowledge on the ILS and aggregation operators. Sect. 3 presents the ILWIOWAWA operator and studies its properties. Sect. 4 ...

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On modulus of continuity of differentiation operator on weighted Sobolev classes

On modulus of continuity of differentiation operator on weighted Sobolev classes

... Abstract In this paper we investigate the modulus of continuity of kth order differential operator, k ∈ N, on the classes of functions defined on half-line that have positive non-increasin[r] ...

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Sharp estimates for the p adic Hardy type operators on higher dimensional product spaces

Sharp estimates for the p adic Hardy type operators on higher dimensional product spaces

... a weighted multilinear Hardy-Cesàro operator on the product of Lebesgue spaces and central Morrey ...of weighted multilinear Hardy-Cesàro operator with symbols in central BMO ...

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Singular integrals of the compositions of Laplace Beltrami and Green's operators

Singular integrals of the compositions of Laplace Beltrami and Green's operators

... where A : M × ∧ l (ℝ n ) ® ∧ l (ℝ n ) and B : M × ∧ l (ℝ n ) ® ∧ l-1 (ℝ n ) satisfy the conditions: | A(x, ξ ) | ≤ a |ξ | p − 1 , A(x, ξ ) · ξ ≥ |ξ | p , | B(x, ξ ) | ≤ b |ξ | p − 1 (1:2) for almost every x Î M and all ξ ...

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On the existence of normal modes of damped discrete-continuous systems

On the existence of normal modes of damped discrete-continuous systems

... mass weighted stiness operator and damping operator is a necessary and sucient condition for the existence of normal modes (Caughey, ...damping operator is a linear combination of ...

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Weighted inequalities for the Sawyer two dimensional Hardy operator and its limiting geometric mean operator

Weighted inequalities for the Sawyer two dimensional Hardy operator and its limiting geometric mean operator

... The aim of this paper is to find a two-dimensional weight characterization that allow us to perform a limiting procedure (as in [2, 4]), and receive a weight characterization of the corresponding two-dimensional P ...

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