• Bulletin of the Korean Mathematical Society
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• v.55 no.2
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• pp.367-378
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• 2018

In this paper, we study m-isometric Toeplitz operators $T_{\varphi}$ with rational symbols. We characterize m-isometric Toeplitz operators $T_{\varphi}$ by properties of the rational symbols ${\varphi}$. In addition, we give a necessary and sufficient condition for Toeplitz operators $T_{\varphi}$ with analytic symbols ${\varphi}$ to be m-expansive or m-contractive. Finally, we give some results for m-expansive and m-contractive Toeplitz operators $T_{\varphi}$ with trigonometric polynomial symbols ${\varphi}$.

• Journal of the Korean Mathematical Society
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• v.24 no.1
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• pp.65-71
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• 1987

• Bulletin of the Korean Mathematical Society
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• v.25 no.2
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• pp.253-260
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• 1988

• Bulletin of the Korean Mathematical Society
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• v.58 no.2
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• pp.365-384
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• 2021

Let A be an expansive dilation on ℝn, and p(·) : ℝn → (0, ∞) be a variable exponent function satisfying the globally log-Hölder continuous condition. Let Hp(·)A (ℝn) be the variable anisotropic Hardy space defined via the non-tangential grand maximal function. In this paper, the author obtains the boundedness of anisotropic convolutional ��-type Calderón-Zygmund operators from Hp(·)A (ℝn) to Lp(·) (ℝn) or from Hp(·)A (ℝn) to itself. In addition, the author also obtains the duality between Hp(·)A (ℝn) and the anisotropic Campanato spaces with variable exponents.

• Journal of the Korean Society of Marine Environment & Safety
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• v.23 no.1
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• pp.33-39
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• 2017

This study identified a candidate area and route for construction of a hub & spork system for coastal passenger ships. For this purpose, the characteristics of the hierarchy structure of other transportation and the operating system of coastal passenger ships were analyzed. Evaluation factors for selecting alternative areas and routes for the construction project were then extracted. Secondly, the relative importance of these evaluation factors for alternative routes were calculated using the Analytic Hierarchy Process (AHP) method. Finally, the importance of these evaluation items and quality of the alternative areas and routes were considered to select a primary candidate area and route. Therefore, four evaluation items such as the number of passenger-ship routes, the number of passengers, the number of cars, and the number of residences were extracted, and the Mokpo area was selected as the target area. In addition, four evaluation items such as he number of islanders, the number of local governments, geographical conditions and passenger ship operators were extracted, and the Yeonggwang route was selected as priority candidates for this construction project. Meanwhile, for the expansive implementation, step-by-step promotion is needed along with the expansion of terminal facilities, the securing of large ships, and the introduction of a semi-public system for coastal passenger ships.