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More on Boundary Behavior of Univalent Harmonic Mappings
Gebreslassie atsbha weldegebrial, hunduma legesse geleta
Many authors have examined various boundary behaviors of injective harmonic mappings in the open unit disk. Building on Laugesen's work, Bshouty and others explored the boundary be…
Bounded Composition Operators on Hilbert Space of Complex-Valued Harmonic Functions
Tseganesh Getachew Gebrehana, Hunduma Legesse Geleta
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 bounde…
Boundary values and zeros of Harmonic Product of Complex-valued Harmonic Functions in a simply connected bounded Domain
Ayantu Guteta Fite, Hunduma Legesse Geleta
The product of two complex-valued harmonic function is not in general complex-valued harmonic function. In this paper we show that if a complex-valued harmonic function is the prod…