• Bulletin of the Korean Mathematical Society
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• v.35 no.2
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• pp.293-299
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• 1998

In this note we consider some characterizations of analytic functions of bounded and vanishing mean oscillation on the unit disk in $\mathbb{C}$ and answer a question about them in the negative.

• Journal of the Korean Mathematical Society
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• v.50 no.1
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• pp.137-159
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• 2013

It is studied the linear combinations of composition operators on the Banach space of bounded harmonic functions on the open unit disk. We determine the essential norm of them.

• Bulletin of the Korean Mathematical Society
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• v.40 no.4
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• pp.671-675
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• 2003

The object of the present paper is to give an univalence condition for analytic functions in the open unit disk U by using the properties for subordination chains.

• Communications of the Korean Mathematical Society
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• v.20 no.1
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• pp.63-70
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• 2005

In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.

• Bulletin of the Korean Mathematical Society
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• v.53 no.5
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• pp.1471-1481
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• 2016

We characterize reducing subspaces of weighted shifts with operator weights as wandering invariant subspaces of the shifts with additional structures. We show how some earlier results on reducing subspaces of powers of weighted shifts with scalar weights on the unit disk and the polydisk can be fitted into our general framework.

• The Pure and Applied Mathematics
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• v.10 no.1
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• pp.1-11
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• 2003

In this paper we derive some sufficient conditions for starlikeness and close-to-convexity of order ${\alpha}$ of meromorphic functions in the punctured unit disk.

• East Asian mathematical journal
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• v.28 no.3
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• pp.321-332
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• 2012

The purpose of the present paper is to investigate some subordination and superordination preserving properties of certain integral operators de ned on the space of meromorphic functions in the puncture open unit disk. The sandwich-type theorems for these integral operators are also presented.

• Kyungpook Mathematical Journal
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• v.46 no.1
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• pp.131-137
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• 2006

The object of the present paper is to obtain new conditions for analytic function to be strongly starlike and strongly convex function defined in the open unit disk.

• Communications of the Korean Mathematical Society
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• v.21 no.2
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• pp.287-292
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• 2006

On the unit disk of the complex plane, a characterization of Bloch function is expressed extending known result.

• Communications of the Korean Mathematical Society
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• v.15 no.2
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• pp.263-274
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• 2000

The object of the present paper is to obtain some argu-ment properties of certain mermorphic functions in the punctured open unit disk. Furthermore, we investigate their integral preserving properties in a sector.