Displaying similar documents to “Differences of weighted composition operators on H α ∞ ( B N ) * .”

Differences of weighted composition operators from Hardy space to weighted-type spaces on the unit ball

Ze-Hua Zhou, Yu-Xia Liang (2012)

Czechoslovak Mathematical Journal

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In this paper, we limit our analysis to the difference of the weighted composition operators acting from the Hardy space to weighted-type space in the unit ball of ℂ N , and give some necessary and sufficient conditions for their boundedness or compactness. The results generalize the corresponding results on the single weighted composition operators and on the differences of composition operators, for example, M. Lindström and E. Wolf: Essential norm of the difference of weighted composition...

Boundary vs. interior conditions associated with weighted composition operators

Kei Izuchi, Yuko Izuchi, Shûichi Ohno (2014)

Open Mathematics

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Associated with some properties of weighted composition operators on the spaces of bounded harmonic and analytic functions on the open unit disk 𝔻 , we obtain conditions in terms of behavior of weight functions and analytic self-maps on the interior 𝔻 and on the boundary ∂ 𝔻 respectively. We give direct proofs of the equivalence of these interior and boundary conditions. Furthermore we give another proof of the estimate for the essential norm of the difference of weighted composition operators. ...

Asymptotic behaviour of a difference equation with complex-valued coefficients

Josef Kalas (2005)

Archivum Mathematicum

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The asymptotic behaviour for solutions of a difference equation z n = f ( n , z n ) , where the complex-valued function f ( n , z ) is in some meaning close to a holomorphic function h , and of a Riccati difference equation is studied using a Lyapunov function method. The paper is motivated by papers on the asymptotic behaviour of the solutions of differential equations with complex-valued right-hand sides.