• Communications of the Korean Mathematical Society
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• v.39 no.1
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• pp.149-160
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• 2024

In this paper, we give sufficient conditions for the generalized Ornstein-Uhlenbeck operators perturbed by regular potentials and inverse square potentials A_Φ,G,V,c=∆-∇Φ·∇+G·∇-V+c|x|^-2 with a suitable domain generates a quasi-contractive, positive and analytic C₀-semigroup in L^p(ℝ^N , e^-Φ(x)dx), 1 < p < ∞. The proofs are based on an L^p-weighted Hardy inequality and perturbation techniques. The results extend and improve the generation theorems established by Metoui [7] and Metoui-Mourou [8].

• Nonlinear Functional Analysis and Applications
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• v.29 no.2
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• pp.581-596
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• 2024

A new variety of non-self generalized proximal contraction, called Hardy-Rogers α⁺F-proximal contraction, is shown in this work. Also, with an example, we prove that such contractions satisfying some conditions must have a unique best proximity point. For some particular values of the constants, that we have used to generalize the proximal contraction, we conclude different α⁺F-proximal contraction results of the types Ćirić, Chatterjea, Reich, Kannan, and Banach with proof, that all such type of contractions must have unique best proximity point. We also apply our result to solve a functional equation.

• Journal of Korean Society of Forest Science
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• v.41 no.1
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• pp.7-18
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• 1979

Almonds are one of the oldest sources of food and oil for man as used the ice cream, candy, roast, salting, chocolate, breads, backed, cookies, and flavoring ect. So, we wish to plant Almond in our country at the most parts of mountains. In this purpose we must be find out of both root stock of more compatibility and new techniques of grafting was rather simples as compared with the many steps of machinary involved today. This investigation has been carried out to reveral compatibility and practical controls of environment effectives involved in the occurence of each difference combination results in interspecific grafting of Almonds on the root stock of Prunus mandshurica and Prunus persica as materials during the 9 months period from March to November in 1978. With these selected scions were 4 varieties of Almond employing as the Hal1's hardy, Nonpareil, and Thompson grafted in the polyethylene green house with almost identical provision made for effective controls of automatical supplying to heating and mistsprayers as the $22{\sim}25^{\circ}C$ of temperature and 70~90% humidity. Following results have been obtained. Those environmental controls were more effective and practical to grafting unions and success by means veneer-grafting at the green house. 1. Hall's hardy Almond grafted on the root stock of Prunus persica was more compatibility than Prunus mandshurica. 2. The survival percentages as follows of the 95.33% of Hall's hardy/Prunus persica and 92.66% of Hall's hardy/Prunus mandshurica. And those were no significant between root stock of both species. 3. The 3 varieties of sweet Almond grafted on the root stock of P. mandshurica. And those were no significant between root stock of both species. 4. And the survival percentages as fellows. Thompson 92.66%, Nonpareil 90.66% and Kapareil 89.33% those grafted on the root stock of Prunus persica. 5. And then the survival percentage of interspecific grafts on the root Prunus mandshurica as follows of the materials of Thompson 89.66%, Nonpareil 87%, Kapareil 85%. 6. The analysis of variance were no significant among the interactions between 3 varieties Almond and 2 species of root stock plants. 7. And the growth of interspecific grafts of the high 161cm, diameter 12.3mm and length of roots 21.5cm growth as the Hall's hardy Almond grafted on the root stock of Prunus persica. 8. The root stock plants of Prunus mandshurica more effected to 6~8 days early developed leafing of scions and dark green colour than the Prunus persica. 9. The identical provision of automatic systems was more effective to graft unions and grafting process. 10. The veneer-grafting method at the green house was more effective and practical method for the mass production of Almond grafts.

• Journal of the Chungcheong Mathematical Society
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• v.31 no.3
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• pp.321-324
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• 2018

We present a new and simple proof of improved Carleson's inequality.

• Journal of the Korean Mathematical Society
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• v.35 no.2
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• pp.269-280
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• 1998

Elementary properties of the sequence space l(s, t) are studied with applications to Hardy space theory.

• The Pure and Applied Mathematics
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• v.11 no.1
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• pp.89-96
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• 2004

We prove de Leeuw's restriction theorem result Jodeit, Jr. [4] for multipliers on $H^{p}$ spaces, p＜1.

• Communications of the Korean Mathematical Society
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• v.33 no.2
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• pp.507-513
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• 2018

We will consider the asymptotic toeplitzness associated with weighted composition operators on the Hardy-Hilbert space $H^2$.

• Journal of applied mathematics & informatics
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• v.8 no.3
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• pp.1021-1026
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• 2001

In this paper, we give an improvement of Carleman’s inequality by using the strict monotonicity of the power mean of n distinct positive numbers.

• Bulletin of the Korean Mathematical Society
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• v.56 no.3
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• pp.691-702
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• 2019

We characterize coefficient multipliers from certain Dirichlet type spaces to Hardy spaces and weighted Bergman spaces.

• Korean Journal of Food Science and Technology
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• v.48 no.3
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• pp.208-213
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• 2016

This study evaluated the in vitro radical scavenging and ${\alpha}$-glucosidase inhibitory activities of dried daraesoon (shoot of hardy kiwi) during cooking involving rehydration and subsequent heating at $180^{\circ}C$ with or without perilla oil. Pigments and antioxidants were quantified by HPLC and spectrophotometry. Unlike the tocopherol content, the polyphenol, flavonoid, chlorophyll, and carotenoid contents as well as the DPPH radical scavenging and ${\alpha}$-glucosidase inhibitory activities of daraesoon extract were significantly decreased by rehydration (p<0.05). Heating the rehydrated daraesoon for 10 or 20 min increased its radical scavenging activity irrespective of perilla oil addition, whereas the ${\alpha}$-glucosidase inhibitory activity increased significantly only after heating with perilla oil (p<0.05). During cooking, changes in both activities showed a similar pattern to that showed by polyphenol content changes. These results suggest that the health functionality of daraesoon can be enhanced by an appropriate cooking process that retains polyphenols.