• Bulletin of the Korean Mathematical Society
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• v.59 no.5
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• pp.1215-1235
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• 2022

In this paper we study Szegö kernel projections for Hardy spaces in quaternionic Clifford analysis. At first we introduce the matrix Szegö projection operator for the Hardy space of quaternionic Hermitean monogenic functions by the characterization of the matrix Hilbert transform in the quaternionic Clifford analysis. Then we establish the Kerzman-Stein formula which closely connects the matrix Szegö projection operator with the Hardy projection operator onto the Hardy space, and we get the matrix Szegö projection operator in terms of the Hardy projection operator and its adjoint. At last, we construct the explicit matrix Szegö kernel function for the Hardy space on the sphere as an example, and get the solution to a Diriclet boundary value problem for matrix functions.

• Journal of the Korean Mathematical Society
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• v.42 no.5
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• pp.1087-1100
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• 2005

In this note we give the mapping properties of the Marcinkiewicz integral !-to. at some end spaces. More precisely, we first prove that !-to. is a bounded operator from H$^{1,($\mathbb{R) to H$^{1, ($\mathbb{R). As a corollary of the results above, we obtain again the weak type (1,1) boundedness of $\mu$$_{, but the condition assumed on n is weaker than Stein's condition. Finally, we show that !-to. is bounded from BMO($\mathbb{R) to BMO($\mathbb{R). The results in this note are the extensions of the results obtained by Lee and Rim recently.

• Journal of the Architectural Institute of Korea Planning & Design
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• v.35 no.7
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• pp.89-99
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• 2019

The purpose of this study is to reveal the meaning of Le Corbusier's works focused on Maison Guiette. This House was completed in 1926, 4 year later than the work of the Citrohan and also, this house is the only remaining mixed use Dwelling in Belgium. It offers a fine example of the early architectural concepts of Le Corbusier's. Despite these important facts, the meanings of the ideas of this house have not been paid attention as much as other houses constructed at the same period, such as Maison La Roche, Maison Stein de Monzie, Villa Savoye, etc. In his book, 'Oeuvre Complete 1910-1929', Le Corbusier mentioned as follows: "A special solution imposed by Belgian housing developments characterized by a dimension of 6 meters of frontage and a very great depth. The staircase serving the various floors is like the ladder of Jacob climbs Charlie Chaplin in the "Kid" and This house is an architectural experiments of his ideas. And this study aims at analysing the relationship between Maison Guiette and spaces on the basic of Le Corbusier's 'Five Points of a New Architecture' which had a great effects on architectural history and became a fundamental elements for the change into the Modern housing. By analysing the points in regard with the Features of Architectural Concept Applied in Maison Guiette, The Five Points are the background of the interpenetration of the interior and the exterior. To attain this, this research appraises each points in detail in regards with Maison Guiette. The study of Maison Guiette will be an important architectural subject to clarify the meaning of his later works and ideas.

• Journal of fish pathology
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• v.24 no.3
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• pp.225-236
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• 2011

This study was aimed to determine the fish physical status according to the gross and histopathological findings of liver in cultured black rock fish, Sebastes schlegeli. All 47 fish submitted had no marked abnormalities in the external findings. 42.55% of fish showed normal liver, 25.53% yellow liver, 25.53% atrophic brown liver, 4.26% yellowish-green liver and 2.13% fatty liver in gross examination. Grossly normal liver showed no remarkable change in lobular structure but many vacuoles were found in hepatic cell. Hepatic cells took normal roundish, polygonal shapes containing spherical nuclei. In group of yellow-brown liver, many brown pigments were seen in hepatic cells, MMCs and brown-colored hyaline droplets within cytoplasm of hepatocytes. Yellowish green pigments were seen in hepatic cells and MMCs of yellow green liver and green colored hyaline droplets within hepatocytes. The dilated central veins are highlighted with atrophy of hepatic cells. Outline of atrophic hepatocyte became ambiguous and nucleus frequently become small and pyknotic. Fatty liver showed prominent vacuolar structures in cells as clear spaces or foamy cytoplasm with degenerative nuclei. From these results, it was strongly suggested that hepatic gross and histological findings could be used as important and critical health parameters of fish prior to progression to substantial manifestation as clinical disease.