• 대한수학회지
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• 제56권3호
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• pp.703-721
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• 2019

The notion of slant H-Toeplitz operator $V_{\phi}$ on the Hardy space $H^2$ is introduced and its characterizations are obtained. It has been shown that an operator on the space $H^2$ is a slant H-Toeplitz if and only if its matrix is a slant H-Toeplitz matrix. In addition, the conditions under which slant Toeplitz and slant Hankel operators become slant H-Toeplitz operators are also obtained.

• 대한수학회보
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• 제60권5호
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• pp.1141-1154
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• 2023

In this paper, we study the complex symmetric weighted composition-differentiation operator D_𝜓,𝜙 with respect to the conjugation JW_𝜉,𝜏 on the Hardy space H². As an application, we characterize the necessary and sufficient conditions for such an operator to be normal under some mild conditions. Finally, the spectrum of D_𝜓,𝜙 is also investigated.

• 대한수학회보
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• 제60권6호
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• pp.1439-1451
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• 2023

This paper provides a constructive proof of the weak factorizations of the classical Hardy space H¹(ℝⁿ) in terms of multilinear fractional integral operator on the variable Lebesgue spaces, which the result is new even in the linear case. As a direct application, we obtain a new proof of the characterization of BMO(ℝⁿ) via the boundedness of commutators of the multilinear fractional integral operator on the variable Lebesgue spaces.

• Kyungpook Mathematical Journal
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• 제63권3호
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• pp.425-435
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• 2023

The classical Hardy Theorem on R states that a function f and its Fourier transform cannot be simultaneously very small; this fact was generalized by Miyachi in terms of L¹ + L^∞ and log⁺-functions. In this paper, we consider the k-Hankel transform, which is a deformation of the Hankel transform by a parameter k > 0 arising from Dunkl's theory. We study Miyachi's theorem for the k-Hankel transform on ℝ^d.

• Nonlinear Functional Analysis and Applications
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• 제29권1호
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• pp.35-45
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• 2024

In this paper, we study the existence and multiplicity of nontrivial solutions for a p-Kirchhoff equation involving critical Sobolev-Hardy exponent by using variational methods and we need to estimate the energy levels.

• 호남수학학술지
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• 제46권1호
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• pp.60-69
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• 2024

We consider a special orthonormal basis for the Hardy space of the unit disc to compute the matrix representations of the composition operators with respect to the basis particulary associated to two symbols which are the inverse and the origin symmetry of the Riemann self map in the unit disc, and then we find a certain symmetry of the matrices.

• 대한수학회보
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• 제24권1호
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• pp.45-45
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• 1987

• 원예과학기술지
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• 제34권5호
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• pp.755-760
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• 2016

In general, the storage life of hardy kiwifruit (Actinidia arguta) is approximately one month, even in cold storage, which is a limiting factor for its commercialization due to the short marketing period. This short shelf life is in contrast to those of green kiwifruit (A. deliciosa, 6 to 8 months) and gold kiwifruit (A. chinensis, 4 to 6 months). To increase the storage life of hardy kiwifruit, we performed a cross between A. arguta (a local collection, 'Hy2-1', female) and A. deliciosa ('Matua', male) at Wando station at the Fruit Research Institute of JARES, Korea in 1999. After the first selection in 2006, we clonally propagated the hybrid plants by grafting them onto A. arguta seedlings in Gwangyang and Haenam province, Korea. We performed the final selection of this cultivar in 2012 and applied for plant protection rights from the Korea Forest Research Institute in 2013. Several experimental orchards have been established for commercial production. 'Mansu' begins to flower on May 20 in Gwangyang. The horticultural maturity date in 'Mansu', when the soluble solid content reaches $7^{\circ}Bx$, is October 15, whereas that of the control variety ('Chiak') is October 5. The average fruit size of 'Mansu' is approximately 15 g. The soluble solid content of 'Mansu' is approximately 16 to $17^{\circ}Bx$ after ripening. The total yield of mature 'Mansu' vines is estimated to be 2.2 to 2.5 tons per 10a. The fruit firmness of 'Mansu' exceeded 1.5 kg/5 mmØ until 70 days after storage (at 0 and $1^{\circ}C$). Therefore, 'Mansu' fruits have much longer storability than the control. The cultivation and production of 'Mansu' may extend the marketing period for hardy kiwifruit.

• 한국산림과학회지
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• 제103권3호
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• pp.368-374
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• 2014

본 연구는 에틸렌 처리와 저장조건에 따른 '오텀센스' 다래의 저장성과 품질 변화를 조사하기 위하여 수행하였다. 다래의 저장 중 품질변화를 관찰한 결과, 48시간과 96시간동안 에틸렌을 처리한 모든 처리구에서 경도는 저장기간이 경과함에 따라 급격히 감소하였으나, 당도는 급격히 증가하였다. 산도는 모든 처리구에서 0.7~1.4%수준으로 나타났다. 저장기간 동안 다래의 중량감소율을 조사한 결과, 48시간동안 에틸렌을 처리하고 저장한 다래는 저장 24일 동안 $20^{\circ}C$저장구에서 30.9%로 가장 높았으며, $2^{\circ}C$에 상대습도 90%저장구에서 5.9%로 가장 낮게 나타났다. 96시간동안 에틸렌을 처리하고 저장한 다래는 저장 22일 동안 $20^{\circ}C$저장구에서 29.4%, $4^{\circ}C$저장구에서 20.7%, $2^{\circ}C$저장구에서 12.1% 그리고 $2^{\circ}C$에 상대습도 90%저장구에서 6.0% 감소하였다. 저장기간 동안 다래의 식미는 모든 처리구에서 증가하다 감소하였다. 특히 $20^{\circ}C$저장구는 저장 초기에 급격히 증가하다 감소하였고, $2^{\circ}C$에 상대습도 90%저장구는 저장 18일 후에 감소하였다. 부패율은 모든 처리구에서 저장기간 동안 증가하였으며, $20^{\circ}C$저장구는 저장 2일 후, $2^{\circ}C$에 상대습도 90%저장구는 16일부터 급격히 증가하였다. 따라서, $2^{\circ}C$에 상대습도 90%의 저장조건이 다래의 품질을 유지하는데 효과적일 것으로 판단되며, '오텀센스' 다래의 적정 저장조건과 후숙시기를 판단할 수 있을 것이라 생각된다.

• Archives of Pharmacal Research
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• 제7권1호
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• pp.1-9
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• 1984

Polyethylene glycol 20, 000 and 6, 000 were found to have an upper consolute temperature, called "cloud point", and the effects of various additives on the polythylene glycols were investigated in this study. Electrolytes lowered the cloud point in proportion to their concentrations through dehydration and electrostriction. It was found that anions played a more important role than cations and the effects of both the cations and the anions clearly followed the classical Hofmeister series. However, the Schultze Hardy rule holds for the effect of anions, and fails for the effect of cations. Salts of large polarizable anions such as iodide and thiocynate rather raised the cloud point, and their effects were ascribed to the fact that they break the water structure and weaken hydrophobic bonding of the polyxyethylene moiety. Nitrates of polyvalent cations also raised the cloud point. This was ascribed to the complex formation between the polyvalent cations and ether oxygens of the polyoxyethylenes. This explained the failure 'of the Schultz-Hardy rule for cations. Uncharged aromatic compounds drastically lowered the clound point, while aliphatic alcohols slightly lowered the cloud point, This result suggests that there might be some interaction between ether oxygens and aromatic nucleus.c nucleus.