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FOURIER TRANSFORM OF ANISOTROPIC MIXED-NORM HARDY SPACES WITH APPLICATIONS TO HARDY-LITTLEWOOD INEQUALITIES

  • Liu, Jun;Lu, Yaqian;Zhang, Mingdong
    • Journal of the Korean Mathematical Society
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    • v.59 no.5
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    • pp.927-944
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    • 2022
  • Let $\vec{p}{\in}(0,\;1]^n$ be an n-dimensional vector and A a dilation. Let $H^{\vec{p}}_A(\mathbb{R}^n)$ denote the anisotropic mixed-norm Hardy space defined via the radial maximal function. Using the known atomic characterization of $H^{\vec{p}}_A(\mathbb{R}^n)$ and establishing a uniform estimate for corresponding atoms, the authors prove that the Fourier transform of $f{\in}H^{\vec{p}}_A(\mathbb{R}^n)$ coincides with a continuous function F on ℝn in the sense of tempered distributions. Moreover, the function F can be controlled pointwisely by the product of the Hardy space norm of f and a step function with respect to the transpose matrix of A. As applications, the authors obtain a higher order of convergence for the function F at the origin, and an analogue of Hardy-Littlewood inequalities in the present setting of $H^{\vec{p}}_A(\mathbb{R}^n)$.

Effect of Acupuncture at Yintang Point(EX-$HN_3$) on Heart Rate Variability in Healthy Adults with Mental Stress (인당혈(印堂穴) 침자극이 정신적 스트레스를 가한 성인의 심박변이도에 미치는 영향)

  • Kim, So Jung;Kim, Nam Sik;Kim, Jong Yoon;Kim, Yong Suk;Nam, Sang Soo
    • Journal of Acupuncture Research
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    • v.29 no.6
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    • pp.47-56
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    • 2012
  • Objectives : This study was performed to investigate the effect of acupuncture at Yintang point(EX-$HN_3$) on heart rate variability in healthy adults with mental stress. Methods : 38 healthy volunteers(sham point group : 19, Yintang point group 19) participated in this study. The study was established by randomized trial. After 10 minutes rest period, mental stress was provided for 10 minutes. HRV was recorded before and after stress. And then simple acupuncture was applied at sham or Yintang point for 15 minutes. We measured HRV 3 times: before and after stress, and after acupuncture. Results : In sham point group, LF norm and HF norm changed significantly after mental stress. In Yintang point group, LF, HF, LF norm, HF norm and LF/HF showed a significant change after mental stress. In sham point group, all indicators were not affected after acupuncture. In Yintang point group, HF norm decreased significantly. LF, LF norm and LF/HF increased significantly. There were significant differences between two groups(p<0.05). Conclusions : The results suggest that acupuncture at Yintang point(EX-$HN_3$) can regulate and prevent the alteration of autonomic nerve system by mental stress.

Moderating Effects of Personal Innovativeness on the Relationship between Perceived Usefulness, Subjective Norm and Intention to Use Mobile Internet (인지된 유용성과 주관적 규범이 모바일인터넷 사용 의도에 미치는 영향에 있어 개인 혁신성향의 조절효과에 대한 연구)

  • Shin, Hyun-Sik
    • The Journal of Information Systems
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    • v.19 no.3
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    • pp.209-236
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    • 2010
  • Recently, utilization of mobile Internet services is rapidly increasing. To properly accelerate the vitalization of mobile Internet usage, we have to know exactly about the factors affecting potential users' value recognition and intention to use. Technology acceptance model (TAM) is one of the most powerful reference framework for the individual user's adoption of IT innovations. This research borrowed core concept of TAM, and tried to explain users' intention to use mobile Internet by understanding the direct and indirect effects of subjective norm and perceived usefulness. To increase the explanatory power of the model, this paper introduced personal innovativeness as a key moderator variable. The research findings include; i) subjective norm has strong positive influence on perceived usefulness and intention to use, ii) perceived usefulness has positive influence on intention to use, iii) the influence of subject norm is greater than that of perceived usefulness, iv) positive influence of subjective norm on the perceived usefulness and intention to use are significantly stronger in the case of low personal innovativeness sub-group than the case of high personal innovativeness sub-group, and v) high personal innovativeness sub-group have shown strongly positive influence of perceived usefulness on the intention to use while there is no such significant relationship in the case of low personal innovativeness sub-group. Based on these findings, this paper proposed several guidelines to increase the adoption and the usage of mobile Internet; i) word-of-mouth is extremely important, ii) to form a good word-of-mouth, it will be very important to make early adopters and heavy users have positive direct experiences of using mobile Internet.

Effect of Hwangryunhaedok-tang Pharmacopuncture at $CV_{17}$(Jeonjung : 膻中) for Mental Stress on Short-term Analysis of Heart Rate Variability (전중(膻中)($CV_{17}$) 황련해독탕약침(黃連解毒湯藥鍼)이 정신적 스트레스를 가한 성인의 심박 변이도에 미치는 영향)

  • Cho, Seong-Yeun;Ha, Seon-Yun;Jang, Jin-Young;Nam, Sang-Soo;Kim, Yong-Suk
    • Journal of Acupuncture Research
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    • v.26 no.5
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    • pp.49-56
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    • 2009
  • Objectives : The purpose of this study was to assess the effect of Hwangryunhaedok-tang pharmacopuncture at $CV_{17}$ for reducing mental stress using power spectrum analysis of the heart rate variability(HRV). Methods : 30 healthy volunteers(control group: 15, experimental group: 15) participated in this study. After instrumentation and 5-minutes rest period, mental stress by operation was provided for 5-minutes. HRV was recorded before and after the mental stress. And then the control group rested for 15-minutes. The experimental group was injected Hwangryunhaedok-tang pharmacopuncture at $CV_{17}$ and rested for 15-minutes. And then HRV was recorded. Results : In simple rest group, LF norm and HF norm showed a significant change after mental stress. In pharmacopuncture group, LF norm, HF norm and LF/HF showed a significant change after mental stress. But there were no significant difference between two groups(p>0.05). In pharmacopuncture group, LF norm, HF norm and LF/HF showed a significant change after pharmacopuncture injection. There were significant difference between two groups(p<0.01). Conclusions : The result suggests that Hwangryunhaedok-tang pharmacopuncture at $CV_{17}$(Jeonjung) can regulate and prevent the alteration of autonomic nerve system due to mental stress.

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The determinants of vertical overbite and overbite depth indicator(ODI) (수직피개의 결정요인과 수직피개 심도지수(ODI)의 상호관계)

  • Yang, Sang-Duk
    • The korean journal of orthodontics
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    • v.29 no.3 s.74
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    • pp.349-360
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    • 1999
  • The concept of denture frame, both the vertical and horizontal relationship of the dentitions are ultimately related to a skeletal configuration, leads to postulate that the vertical overbite will be determined by the jaw rotations and anteroposterior jaw relationship. Also, ODI is analyzed to be composed of the determinant factors of overbite such as FMA PPA and FABA. From the geometric analyses of an interrelationship between the ODT and the overbite determinants, the following formula can be induced. ODI norm=$85^{\circ} - 0.5 PMA-(1.08 - 0.01 FMA)(FABA - 81^{\circ})$. This formula indicates that the norm of ODI is not constant value but variable one according to the individual skeletal frames. Through the application of the formula to the various clinical cases, it is proved that the new concept, relativity of the ODI norm, is very diagnostically useful.

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Determinants of Eco-friendly Outdoor Wear Products Purchase Intention : Exploring Value-Belief-Norm Theory (친환경 아웃도어 웨어 제품 구매의도 결정요인 : 가치-신념-규범 이론을 중심으로)

  • Kim, Young Hwa;Oh, Kyung Wha;Jung, Hye Jung
    • Fashion & Textile Research Journal
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    • v.17 no.6
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    • pp.965-977
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    • 2015
  • This study aims to investigate determinants that included personal values, pro-environmental beliefs, and proenvironmental norms for enhancing consumers' purchase intention of eco-friendly outdoor wear exploring Stern(2000)’s the value-belief-norm theory. A survey was conducted with females and males between the ages of 20 and 60 who have experienced buying outdoor wear products. A total of 300 responses were analyzed by descriptive analysis, factor analysis, a reliability test, an independent samples t-test, and regression analysis. The results of this study were as follows: 1) The results of exploratory factor analysis and reliability test on the personal value clearly showed factorial structures including the social power, ecologic value, openness, equality, and altruistic value. 2) There are significant differences in personal value sub-dimensions, pro-environmental beliefs, pro-environmental norm, and purchase intention of eco-friendly outdoor wear products according to respondents' gender and age. 3) Personal values, but not social power, affect pro-environmental beliefs; in turn, pro-environmental beliefs affect pro-environmental norms, which then affects purchase intentions of eco-friendly outdoor wear. The findings support the conclusion that there is significant causality among personal value such as ecologic, openness, equality, and altruistic, pro-environmental belief, and pro-environmental norm. This study suggests pragmatic implications to understand outdoor wear consumers' socio-psychological and demographic factors and to augment purchase intentions of eco-friendly outdoor wear products.

Super-Resolution Reconstruction Algorithm using MAP estimation and Huber function (MAP 추정법과 Huber 함수를 이용한 초고해상도 영상복원)

  • Jang, Jae-Lyong;Cho, Hyo-Moon;Cho, Sang-Bok
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.46 no.5
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    • pp.39-48
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    • 2009
  • Many super-resolution reconstruction algorithms have been proposed since it was the first proposed in 1984. The spatial domain approach of the super-resolution reconstruction methods is accomplished by mapping the low resolution image pixels into the high resolution image pixels. Generally, a super-resolution reconstruction algorithm by using the spatial domain approach has the noise problem because the low resolution images have different noise component, different PSF, and distortion, etc. In this paper, we proposed the new super-resolution reconstruction method that uses the L1 norm to minimize noise source and also uses the Huber norm to preserve edges of image. The proposed algorithm obtained the higher image quality of the result high resolution image comparing with other algorithms by experiment.