Sleep: Rotation Method

Island Zombie ◽  
2020 ◽  
pp. 63-64
Keyword(s):  
1984 ◽  
Vol 26 (7) ◽  
pp. 741-748 ◽  
Author(s):  
E. Frankel

2019 ◽  
Vol 2019 (1) ◽  
Author(s):  
Feng Liu

Abstract In this note we study the rough singular integral $$ T_{\varOmega }f(x)=\mathrm{p.v.} \int _{\mathbb{R}^{n}}f(x-y)\frac{\varOmega (y/ \vert y \vert )}{ \vert y \vert ^{n}}\,dy, $$ T Ω f ( x ) = p . v . ∫ R n f ( x − y ) Ω ( y / | y | ) | y | n d y , where $n\geq 2$ n ≥ 2 and Ω is a function in $L\log L(\mathrm{S} ^{n-1})$ L log L ( S n − 1 ) with vanishing integral. We prove that $T_{\varOmega }$ T Ω is bounded on the mixed radial-angular spaces $L_{|x|}^{p}L_{\theta }^{\tilde{p}}( \mathbb{R}^{n})$ L | x | p L θ p ˜ ( R n ) , on the vector-valued mixed radial-angular spaces $L_{|x|}^{p}L_{\theta }^{\tilde{p}}(\mathbb{R}^{n},\ell ^{\tilde{p}})$ L | x | p L θ p ˜ ( R n , ℓ p ˜ ) and on the vector-valued function spaces $L^{p}(\mathbb{R}^{n}, \ell ^{\tilde{p}})$ L p ( R n , ℓ p ˜ ) if $1<\tilde{p}\leq p<\tilde{p}n/(n-1)$ 1 < p ˜ ≤ p < p ˜ n / ( n − 1 ) or $\tilde{p}n/(\tilde{p}+n-1)< p\leq \tilde{p}<\infty $ p ˜ n / ( p ˜ + n − 1 ) < p ≤ p ˜ < ∞ . The same conclusions hold for the well-known Riesz transforms and directional Hilbert transforms. It should be pointed out that our proof is based on the Calderón–Zygmund’s rotation method.


1991 ◽  
Vol 43 (11) ◽  
pp. 6272-6283 ◽  
Author(s):  
Liwen Pan ◽  
K. T. Taylor ◽  
Charles W. Clark

2010 ◽  
Vol 27 (10) ◽  
pp. 104201
Author(s):  
Li Zheng-Yong ◽  
Wu Chong-Qing ◽  
Shang Chao ◽  
Yu Xiang-Zhi

1981 ◽  
Vol 54 (3) ◽  
pp. 381-393 ◽  
Author(s):  
Koichi Watanabe ◽  
Akio Iida ◽  
Yoshihiro Sumiyoshi

2021 ◽  
Vol 8 (2) ◽  
pp. 113-118
Author(s):  
Noora Shrestha

Food and beverage marketing on social media is a powerful factor to influence students’ exposure to social media and application for food and beverage. It is a well-known fact that most of the food and beverage business target young people on the social media. The objective of the study is to identify the factors associated to the students’ exposure in the social media platforms for food and beverage. The young students between the ages 20 to 26 years completed a self-administered questionnaire survey on their media use for food and beverages. The questionnaire was prepared using Likert scale with five options from strongly agree to strongly disagree. The data set was described with descriptive statistics such as mean and standard deviation. The exploratory factor analysis with varimax rotation method was used to extract the factors. The most popular social media among the respondents were Facebook, Instagram, and You Tube. 73.3% of the students were exposed to food and beverage application in their mobile device and 76% of them followed the popular food and beverage pages in social media. The result revealed that social media posts, promotional offer, and hygienic concept have positively influenced majority of the students’ exposure to social media for food and beverage. Keywords: Factor analysis, Social Media, Food and Beverage, Student, Promotional Offer.


1995 ◽  
Vol 25 (1) ◽  
pp. 18
Author(s):  
Jeong-Cheol Seo ◽  
Kyoung-Sig Chang ◽  
Soung-Ho Cho ◽  
Jae-Yong Chung ◽  
Gi-Wan An ◽  
...  

2005 ◽  
Vol 12 (2) ◽  
pp. 123
Author(s):  
Young Joon Ahn ◽  
Choon Sung Lee ◽  
Ji Hyo Kim ◽  
Kyeong Il Jeong ◽  
Yung Tae Kim

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