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arXiv · 2503.10162

Bounded Composition Operators on Hilbert Space of Complex-Valued Harmonic Functions

Tseganesh Getachew Gebrehana·Hunduma Legesse Geleta
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Abstract

In this paper, we study composition operators on Hilbert space of complex-valued harmonic functions. In particular, we explore isometries, the type of self-map that generate bounded composition operator, and characterize the boundedness of composition operator in terms of Poisson integral. Furthermore, we establish the relation between reproducing kernels and composition operators on Hilbert space of complex-valued harmonic functions.

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Tseganesh Getachew Gebrehana, Hunduma Legesse Geleta. 2025-03-13. Bounded Composition Operators on Hilbert Space of Complex-Valued Harmonic Functions. https://arxiv.org/abs/2503.10162

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