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COMPOSITION OPERATORS ON THE PRIVALOV SPACES OF THE UNIT BALL OF ℂ<sup>n</sup>
UEKI SEI-ICHIRO Korean Mathematical Society 2005 대한수학회지 Vol.42 No.1
Let B and S be the unit ball and the unit sphere in $\mathbb{C}^n$, respectively. Let ${\sigma}$ be the normalized Lebesgue measure on S. Define the Privalov spaces $N^P(B)\;(1\;<\;p\;<\;{\infty})$ by $$N^P(B)\;=\;\{\;f\;{\in}\;H(B) : \sup_{0<r<1}{\Bigint}_S \{log(1+|f(\gamma\zeta)|)\}^{p}d\sigma(\zeta)\;<\;\infty\;\}$$ where H(B) is the space of all holomorphic functions in B. Let ${\varphi}$ be a holomorphic self-map of B. Let ${\mu}$ denote the pull-back measure ${\sigma}o({\varphi}^{\ast})^{-1}$. In this paper, we prove that the composition operator $C_{\varphi}$ is metrically bounded on $N^P$(B) if and only if ${\mu}(S(\zeta,\delta)){\le}C{\delta}^n$ for some constant C and $C_{\varphi}$ is metrically compact on $N^P(B)$ if and only if ${\mu}(S(\zeta,\delta))=o({\delta}^n)$ as ${\delta}\;{\downarrow}\;0$ uniformly in ${\zeta}\;\in\;S. Our results are an analogous results for Mac Cluer's Carleson-measure criterion for the boundedness or compactness of $C_{\varphi}$ on the Hardy spaces $H^P(B)$.
Hideto Ueki,Takuto Hara,Yasuyoshi Okamura,Yukari Bando,Tomoaki Terakawa,Junya Furukawa,Kenichi Harada,Yuzo Nakano,Masato Fujisawa 대한비뇨의학회 2022 Investigative and Clinical Urology Vol.63 No.4
Purpose: Two methods are used to identify sarcopenia by calculating skeletal muscle area on computed tomography: the skeletal muscle index (SMI) and the psoas muscle index (PMI). Programmed death (PD)-1 inhibitors are helpful in treating metastatic renal cell carcinoma (mRCC). However, there remains insufficient information regarding a clear and easy-to-use biomarker for predicting the response to PD-1 inhibitors in patients with mRCC. Therefore, we investigated the influence of sarcopenia on clinical outcomes in patients with mRCC undergoing treatment with nivolumab. Materials and Methods: This study evaluated 96 patients with RCC who received nivolumab. The SMI and PMI were calculated for each patient and normalized for stature by use of the following formulas: SMI (cm2/m2)=([skeletal muscle cross-sectional area at the level of L3]/[height]2) and PMI (cm2/m2) = ([left-right sum of the psoas muscle areas at the level of L3]/[height]2). The relationship of the clinical variables with progression-free survival and overall survival (OS) was examined using a Cox proportional hazards model. Results: According to the SMI-based definition of sarcopenia, 74.0% of patients had sarcopenia. However, according to the PMI-based definition of sarcopenia, only 34.3% of patients were diagnosed with sarcopenia. Multivariate analysis identified sarcopenia based on PMI (hazard ratio [HR], 3.85; 95% confidence interval [CI], 2.04–7.26; p<0.001) and International Metastatic RCC Database Consortium poor risk status (HR, 1.90; 95% CI, 1.03–3.50; p=0.041) as significant and independent prognostic factors of OS. Conclusions: PMI-based sarcopenia is a significant prognostic factor for OS in patients with RCC who receive nivolumab therapy.
Yasushi Ueki 기술경영경제학회 2017 ASIAN JOURNAL OF TECHNOLOGY INNOVATION Vol.25 No.2
This study explores non-R&D determinants of innovations. Following findings from innovation literature, this study focuseson customer relationships, human resource management (HRM)and top management characteristics as possible determinants ofinnovations. For empirical analyses, this study conducts aquestionnaire survey in Lao PDR, Thailand and Vietnam in thebeginning of 2017. The results of the questionnaire survey andregression analyses present that customer relationships aresignificantly correlated with product innovations, whereas HRMpractices have significant associations with process innovations. Top management contributes to product innovations only bydeveloping mentoring relationships with their engineers. However, top management may make a significant contributionto innovations, by playing a key role in creating customerrelationships to promote knowledge transfer.