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The double obstacle problem for Musielak-Orlicz Dirichlet energy integral on metric measure spaces 度量度量空间上Musielak-Orlicz Dirichlet能量积分的双障碍问题
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2021-03-01 DOI: 10.2748/TMJ.20200120
Toshihide Futamura, T. Shimomura
{"title":"The double obstacle problem for Musielak-Orlicz Dirichlet\u0000 energy integral on metric measure spaces","authors":"Toshihide Futamura, T. Shimomura","doi":"10.2748/TMJ.20200120","DOIUrl":"https://doi.org/10.2748/TMJ.20200120","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45877954","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Cheng's maximal diameter theorem for hypergraphs 超图的Cheng最大直径定理
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2021-02-19 DOI: 10.2748/tmj.20211202
Yu Kitabeppu, Erina Matsumoto
{"title":"Cheng's maximal diameter theorem for hypergraphs","authors":"Yu Kitabeppu, Erina Matsumoto","doi":"10.2748/tmj.20211202","DOIUrl":"https://doi.org/10.2748/tmj.20211202","url":null,"abstract":"We prove that Cheng maximal diameter theorem for hypergraphs with positive coarse Ricci curvature.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48382586","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Structures of sets of solutions to the Hartree-Fock equation Hartree-Fock方程解集的结构
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-12-17 DOI: 10.2748/tmj.20210922
Sohei Ashida
{"title":"Structures of sets of solutions to the Hartree-Fock equation","authors":"Sohei Ashida","doi":"10.2748/tmj.20210922","DOIUrl":"https://doi.org/10.2748/tmj.20210922","url":null,"abstract":"The Hartree-Fock equation which is the Euler-Lagrange equation corresponding to the Hartree-Fock energy functional is used in many-electron problems. Since the Hartree-Fock equation is a system of nonlinear eigenvalue problems, the study of structures of sets of all solutions needs new methods different from that for the set of eigenfunctions of linear operators. In this paper we prove that the sets of all solutions to the Hartree-Fock equation associated with critical values of the Hartree-Fock energy functional less than the first energy threshold are unions of a finite number of compact connected real-analytic spaces. The result would also be a basis for the study of approximation methods to solve the equation.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42582355","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Kolmogorov operator with the vector field in Nash class 纳什类中具有向量场的Kolmogorov算子
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-12-04 DOI: 10.2748/tmj.20210825
D. Kinzebulatov, Y. Semenov
{"title":"Kolmogorov operator with the vector field in Nash class","authors":"D. Kinzebulatov, Y. Semenov","doi":"10.2748/tmj.20210825","DOIUrl":"https://doi.org/10.2748/tmj.20210825","url":null,"abstract":"We establish sharp two-sided heat kernel bounds, Harnack inequality and H\"{o}lder continuity of bounded solutions for divergence-form parabolic equation with measurable uniformly elliptic matrix and the first-order term in a large class of locally unbounded vector fields containing $L^p$, $p>d$ as well as some vector fields $notin L_{loc}^p$, $p>2$.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48786009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Characterizations of Sobolev spaces with variable exponent via averages on balls 基于球平均的变指数Sobolev空间的刻画
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-12-01 DOI: 10.2748/tmj.20191018
Jingshi Xu
{"title":"Characterizations of Sobolev spaces with variable exponent via averages on balls","authors":"Jingshi Xu","doi":"10.2748/tmj.20191018","DOIUrl":"https://doi.org/10.2748/tmj.20191018","url":null,"abstract":"In this paper we generalize the characterization for Sobolev spaces with constant exponent via averages on balls to the variable exponent setting. This method can be used to define Sobolev spaces with variable exponent on metric spaces.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"569-579"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49049239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Characterizations of heat kernel estimates for symmetric non-local Dirichlet forms via resistance forms 通过电阻形式刻画对称非局部Dirichlet形式的热核估计
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-12-01 DOI: 10.2748/tmj.20190625
Sheng-Hui Chen, Jian Wang
{"title":"Characterizations of heat kernel estimates for symmetric non-local Dirichlet forms via resistance forms","authors":"Sheng-Hui Chen, Jian Wang","doi":"10.2748/tmj.20190625","DOIUrl":"https://doi.org/10.2748/tmj.20190625","url":null,"abstract":"Motivated by [5], we obtain new equivalent conditions for two-sided heat kernel estimates of symmetric non-local Dirichlet forms in terms of resistance forms. Characterizations for upper bounds of heat kernel estimates as well as near diagonal lower bounds of Dirichlet heat kernel estimates are also established. These results can be seen as a complement of the recent studies on heat kernel estimates and parabolic Harnack inequalities for symmetric non-local Dirichlet forms in [10, 11].","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"507-526"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45889218","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Generalized Cartan-Behnke-Stein's theorem and $q$-pseudoconvexity in a Stein manifold Stein流形中的广义Cartan-Behnke-Stein定理和$q$-伪凸性
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-12-01 DOI: 10.2748/tmj.20190808
Shun Sugiyama
{"title":"Generalized Cartan-Behnke-Stein's theorem and $q$-pseudoconvexity in a Stein manifold","authors":"Shun Sugiyama","doi":"10.2748/tmj.20190808","DOIUrl":"https://doi.org/10.2748/tmj.20190808","url":null,"abstract":"","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47659817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Convergence theorems of a modified iteration process for generalized nonexpansive mappings in hyperbolic spaces 双曲空间中广义非扩张映射的一个修正迭代过程的收敛性定理
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-12-01 DOI: 10.2748/tmj.20191210
Preeyalak Chuadchawna, A. Farajzadeh, A. Kaewcharoen
{"title":"Convergence theorems of a modified iteration process for generalized nonexpansive mappings in hyperbolic spaces","authors":"Preeyalak Chuadchawna, A. Farajzadeh, A. Kaewcharoen","doi":"10.2748/tmj.20191210","DOIUrl":"https://doi.org/10.2748/tmj.20191210","url":null,"abstract":"In this paper, we introduce a modified Picard-Mann hybrid iterative process for a finite family of mappings in the framework of hyperbolic spaces. Furthermore, we establish $Delta$-convergence and strong convergence results for a sequence generated by a modified Picard-Mann hybrid iterative process involving mappings satisfying the condition $(E)$ in the setting of hyperbolic spaces which more general than one mapping in the setting of CAT(0) spaces in Ritika and Khan [19]. Our results are the extension and improvement of the results in Ritika and Khan [19]. Moreover, in the numerical example we also illustrate an example for supporting our main result.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"631-647"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44185792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Structure of minimizers of Cafarelli-Kohn-Nirenberg inequality Cafarelli-Kohn-Nirenberg不等式极小子的结构
IF 0.5 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-12-01 DOI: 10.2748/tmj.20190917b
J. Chern, Chih-Her Chen, Gyeongha Hwang
{"title":"Structure of minimizers of Cafarelli-Kohn-Nirenberg inequality","authors":"J. Chern, Chih-Her Chen, Gyeongha Hwang","doi":"10.2748/tmj.20190917b","DOIUrl":"https://doi.org/10.2748/tmj.20190917b","url":null,"abstract":"In this article, we are concerned with radial solutions for the best constant of the Cafarelli-Kohn-Nirenberg inequality. Firstly, we classify the radial solutions according to its asymptotic behavior as $r to 0$ and $r to infty$. Secondly, we investigate the structure of radial singular solutions. Lastly, we briefly discuss the Neumann problem related to the Cafarelli-Kohn-Nirenberg inequality.","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"72 1","pages":"551-567"},"PeriodicalIF":0.5,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45061143","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Predictive risk factors for post-traumatic stress symptoms among nurses during the Italian acute COVID-19 outbreak. 意大利急性 COVID-19 爆发期间护士出现创伤后应激症状的预测风险因素。
IF 2 4区 数学
Tohoku Mathematical Journal Pub Date : 2020-11-27 eCollection Date: 2021-01-01 DOI: 10.5114/hpr.2020.101249
Jessica Ranieri, Federica Guerra, Dina Di Giacomo
{"title":"Predictive risk factors for post-traumatic stress symptoms among nurses during the Italian acute COVID-19 outbreak.","authors":"Jessica Ranieri, Federica Guerra, Dina Di Giacomo","doi":"10.5114/hpr.2020.101249","DOIUrl":"10.5114/hpr.2020.101249","url":null,"abstract":"<p><strong>Background: </strong>The aim of the study was to investigate the posttraumatic stress disorder risk in nurses, detecting the relationship between distress experience and personality dimensions in the Italian acute COVID-19 outbreak. The study is an observational study conducted in March 2020.</p><p><strong>Participants and procedure: </strong>Mental screening was carried out in the Laboratory of Clinical Psychology on <i>N</i> = 36 nurses in the age range 22-64 years (<i>M</i> = 37.30, <i>SD</i> = 12.60). 76.3% were working in nursing care with confirmed COVID-19 patients; 47.4% of nurses worked in a high COVID-19 rate environment, whereas 52.6% worked in a low COVID-19 rate environment.</p><p><strong>Results: </strong>The results confirm relation between anxiety and peritraumatic dissociation and posttraumatic stress; also anxiety is positively correlated with the agreeableness variable. Our finding was obtained in an acute Italian COVID-19 outbreak and measured and quantified the psychological response of nurses in terms of anxiety as an early reaction for emotional distress and high risk for posttraumatic stress disorders; the personality dimensions did not mediate the emotional distress or the probable risk for post-traumatic stress disorder. Nurses appeared to be exposed to mental distress and needed help.</p><p><strong>Conclusions: </strong>The results evidenced the need to carry out a mental health program for health workers (especially nursing professionals).</p>","PeriodicalId":54427,"journal":{"name":"Tohoku Mathematical Journal","volume":"40 1","pages":"180-185"},"PeriodicalIF":2.0,"publicationDate":"2020-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10501412/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91172356","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 24
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