• 대한수학회보
• /
• 제45권3호
• /
• pp.405-417
• /
• 2008

In this paper we prove some Hardy inequalities in the half space of the Heisenberg group and indicate the sharp constant.

• Kyungpook Mathematical Journal
• /
• 제47권3호
• /
• pp.411-423
• /
• 2007

This paper deals with a reverse Hardy-Hilbert's inequality with a best constant factor by introducing two parameters ${\lambda}$ and ${\alpha}$. We also consider the equivalent form and the analogue integral inequalities. Some particular results are given.

• 대한수학회논문집
• /
• 제34권4호
• /
• pp.1135-1143
• /
• 2019

The matrix representation of the Toeplitz operator on the Hardy space with respect to a generalized orthonormal basis for the space of square integrable functions associated to a bounded simply connected region in the complex plane is completely computed in terms of only the Szegő kernel and the Garabedian kernels.

• 호남수학학술지
• /
• 제43권4호
• /
• pp.691-700
• /
• 2021

In this paper, we compute directly the Hankel matrix representation of the Hankel operator on the Hardy space of the unit disc without using any classical kernel functions with respect to special orthonormal bases for the Hardy space and its orthogonal complement. This gives an elementary proof for the formula.

• Journal of Applied and Pure Mathematics
• /
• 제5권5_6호
• /
• pp.315-346
• /
• 2023

We present a variety of univariate and multivariate left and right side Hardy type fractional inequalities, many of them under convexity, and other also of L_p type, p ≥ 1, in the setting of generalized Hilfer and Prabhakar fractional Calculi.

• 영어영문학
• /
• 제64권4호
• /
• pp.551-564
• /
• 2018

Laodiceanism is the blueprint from which Hardy draws one of his most ingenuous effects: the creating of a Laodicean around which the novel constructs its ambiguity. Hardy's command of "ingenuity" joins both the leading heroine Paula and the minor character Dare into the same category of a Laodicean. Alongside Paula, Dare is the most important ingredient in the novel in that he acts as an enigmatic persona defying the reader's attempts to establish a coherent type. This paper aims to offer a close reading of Dare's life story, which is chosen for discussion as he has been deemed as a simple functionary and thus apparently escaped serious critical notice thus far. It is stressed that the structure of sensations Dare embodies is fascinating in the sense that it is a locus where the coexistence of both meaning and nonmeaning would not amount to harmonious peace or stability so much as permits the impossibility of single and central significance. In this coexistence is inscribed a notion that the binaries in opposition are endlessly inter-mingled in dialogic tension, which is the hallmark of Laodiceanism that Hardy aims to present through the creation of Dare.

• 대한수학회지
• /
• 제60권1호
• /
• pp.33-69
• /
• 2023

Let α ∈ (0, ∞), p ∈ (0, ∞) and q(·) : ℝⁿ → [1, ∞) satisfy the globally log-Hölder continuity condition. We introduce the weak Herz-type Hardy spaces with variable exponents via the radial grand maximal operator and to give its maximal characterizations, we establish a version of the boundedness of the Hardy-Littlewood maximal operator M and the Fefferman-Stein vector-valued inequality on the weak Herz spaces with variable exponents. We also obtain the atomic and the molecular decompositions of the weak Herz-type Hardy spaces with variable exponents. As an application of the atomic decomposition we provide various equivalent characterizations of our spaces by means of the Lusin area function, the Littlewood-Paley g-function and the Littlewood-Paley $g^*_{\lambda}$-function.

• 대한수학회지
• /
• 제55권6호
• /
• pp.1359-1380
• /
• 2018

In this paper, we prove that if a metric measure space satisfies the volume doubling condition and the Hardy type inequality with the same exponent n ($n{\geq}3$), then it has exactly the n-dimensional volume growth. Besides, three interesting applications of this fact have also been given. The first one is that we prove that complete noncompact smooth metric measure space with non-negative weighted Ricci curvature on which the Hardy type inequality holds with the best constant are isometric to the Euclidean space with the same dimension. The second one is that we show that if a complete n-dimensional Finsler manifold of nonnegative n-Ricci curvature satisfies the Hardy type inequality with the best constant, then its flag curvature is identically zero. The last one is an interesting rigidity result, that is, we prove that if a complete n-dimensional Berwald space of non-negative n-Ricci curvature satisfies the Hardy type inequality with the best constant, then it is isometric to the Minkowski space of dimension n.

• 영어어문교육
• /
• 제11권2호
• /
• pp.171-194
• /
• 2005

The essay attempts at a critical reading of Thomas Hardy's The Mayor of Casterbridge (1886) in terms of character and socio-cultural change. Juxtaposing the story of Michael Henchard's career with the social and economic changes in the agricultural town, it attempts to elaborate on the complex ways in which Hardy relates the old modes of life and thinking to the material culture. Though the novel is centered on the story of Henchard, the Henchard-Farfrae clash represents the conflict of "old" and "new" modes of socio-economic organization and consciousness. The story of the rustic man of character struggling with his contradictory traits of strong will-power and emotional collapse suggests that Hardy's literary representation of the rural community and the rustic protagonist is deeply rooted in historical reality. However, while there is the interlocking of the changes in personal fate and social change, the representation is a "reinvented" literary construction with complex mediation. Despite the narrator's emphasis on Henchard's immutability, peculiarity, and resilience, his character is, in a complex, mediated way, shaped by the material conditions of English rural community in the late 19th century. The mediating role of Elizabeth-Jane as a narrative resolution embodies Hardy's ambivalent historical position concerning the period undergoing change and conflict.

• 한국미생물·생명공학회지
• /
• 제41권3호
• /
• pp.327-334
• /
• 2013

다양한 기능성을 가지는 다래를 이용하여 발효주의 제조공정을 확립하였다. 다래과실의 수율 향상을 위하여 후숙기간을 5일로 정하고, 효소제 처리는 0.1% cytolase PCL5를 2시간 처리하였을 때 과즙 수율이 53.5%로 무처리구보다 약 2.4배나 수율이 증가하였다. 다래 발효주 제조시 강한 신맛을 감소시키기 위한 감산처리는 0.1%(w/v) $CaCO_3$를 최적농도로 선정하였다. 다래과실을 파쇄한 후, 각각 가수하여 25%(v/w) 처리구(hardy kiwi wine 25)와 50%(v/w) 처리구(hardy kiwi wine 50)를 준비하였다. 각각 처리구에 설탕을 첨가하여 $24^{\circ}brix$ (252 g/l)로 보당하였고 0.1%(w/v) $CaCO_3$, 0.1%(v/v) cytolase PCL5 효소제, 메타중아황산 칼륨(200 ppm)을 첨가한 후, 주모($1.5{\times}10^7$ cell/ml)를 접종하여 $20^{\circ}C$에서 2주 동안 발효하였다. 숙성은 $4^{\circ}C$에서 8주 동안 진행하면서 다래 발효주의 pH와 총산도는 각각 pH 3.4-3.7과 1.12-1.21%로 유지하였다. 알코올 함량과 환원당은 14.3-14.4%와 15-16 g/l로 유지하였다. 다래 발효주의 주요 유기산과 유리당은 citric acid (6.6-6.7 g/l)와 fructose (2.5-2.7 g/l)로 가장 높게 나타내었다. 주요 향기성분으로는 iso-amyl alcohol, iso-butyl alcohol, phenethyl alcohol, ethyl acetate, acetaldehyde 등이 검출되었다. 다래 발효주의 관능평가 결과, 맛과 향, 종합적인 기호도 모두 hardy kiwi wine 50에서 기호도가 가장 우수한 것으로 확인하였다.