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Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics最新文献

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Singular integral operators on Lkp.Φ-spaces Lkp.Φ-spaces上的奇异积分算子
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1987-05-31 DOI: 10.5036/BFSIU1968.19.71
E. Nakai
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引用次数: 2
Potential Estimates and Imbedding Theorems for Weighted Sobolev Spaces. 加权Sobolev空间的势估计和嵌入定理。
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1987-05-31 DOI: 10.5036/BFSIU1968.19.49
T. Horiuchi
{"title":"Potential Estimates and Imbedding Theorems for Weighted Sobolev Spaces.","authors":"T. Horiuchi","doi":"10.5036/BFSIU1968.19.49","DOIUrl":"https://doi.org/10.5036/BFSIU1968.19.49","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1987-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133614111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Kronecker Function Rings of Semigroups 半群的Kronecker函数环
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1987-05-31 DOI: 10.5036/BFSIU1968.19.31
Ryuki Matsuda, Kojiro Sato
{"title":"Kronecker Function Rings of Semigroups","authors":"Ryuki Matsuda, Kojiro Sato","doi":"10.5036/BFSIU1968.19.31","DOIUrl":"https://doi.org/10.5036/BFSIU1968.19.31","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"136 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1987-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133649782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 10
Sharp function estimates for pseudo-differential operators of class Sρ, δm sp， δm类伪微分算子的锐函数估计
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1987-05-31 DOI: 10.5036/BFSIU1968.19.15
Akihiko Miyachi, K. Yabuta
{"title":"Sharp function estimates for pseudo-differential operators of class Sρ, δm","authors":"Akihiko Miyachi, K. Yabuta","doi":"10.5036/BFSIU1968.19.15","DOIUrl":"https://doi.org/10.5036/BFSIU1968.19.15","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1987-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126596057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 7
Cut locus in a Riemannian manifold 黎曼流形中的切轨迹
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1986-05-31 DOI: 10.5036/BFSIU1968.18.45
K. Hatsuse, Y. Morita
{"title":"Cut locus in a Riemannian manifold","authors":"K. Hatsuse, Y. Morita","doi":"10.5036/BFSIU1968.18.45","DOIUrl":"https://doi.org/10.5036/BFSIU1968.18.45","url":null,"abstract":"We assume hereafter M satisfies the condition (B) at p, and assume sectional curvatures Kσ of M are bounded from below. Let i(p) be the injective radius at p, and let i(M) the injective radius of M. Then we can choose a Riemannian metric g on M as i(M)=1. We denote by L(γ) the length of a piecewise smooth curve γ. Let δ be a lower bound for sectional curvatures Kσ. Let K0=min {δ,0} and N(K0) a simply connected complete Riemannian manifold of constant sectional curvature K0. We consider a geodesic triangle abc in N(K0) which consists of","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"24 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125046723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Remarks on the Failure Rate Characterizations 故障率特征说明
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1986-05-31 DOI: 10.5036/BFSIU1968.18.57
H. Onose
{"title":"Remarks on the Failure Rate Characterizations","authors":"H. Onose","doi":"10.5036/BFSIU1968.18.57","DOIUrl":"https://doi.org/10.5036/BFSIU1968.18.57","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114898017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
On the Boundedness of Random Solutions of Nonlinear Stochastic Integral Equations 非线性随机积分方程随机解的有界性
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1986-05-31 DOI: 10.5036/BFSIU1968.18.49
H. Onose
{"title":"On the Boundedness of Random Solutions of Nonlinear Stochastic Integral Equations","authors":"H. Onose","doi":"10.5036/BFSIU1968.18.49","DOIUrl":"https://doi.org/10.5036/BFSIU1968.18.49","url":null,"abstract":"In this note, we consider the stochastic integral equations of the mixed Volterra-Fredholm type. A sufficient condition for the every random solution of the equation to be bounded is given.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115302331","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
A note on weighted norm inequalities for pseudo-differential operators 伪微分算子的加权范数不等式注记
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1986-05-31 DOI: 10.5036/BFSIU1968.18.7
K. Yabuta
{"title":"A note on weighted norm inequalities for pseudo-differential operators","authors":"K. Yabuta","doi":"10.5036/BFSIU1968.18.7","DOIUrl":"https://doi.org/10.5036/BFSIU1968.18.7","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"192 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133781613","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Remarks on Tauberian Theorem for Quasicentral Banach Algebras 拟中心Banach代数的Tauberian定理
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1986-05-31 DOI: 10.5036/BFSIU1968.18.55
Sin-Ei Takahasi
{"title":"Remarks on Tauberian Theorem for Quasicentral Banach Algebras","authors":"Sin-Ei Takahasi","doi":"10.5036/BFSIU1968.18.55","DOIUrl":"https://doi.org/10.5036/BFSIU1968.18.55","url":null,"abstract":"Let A be a semisimple quasicentral Banach algebra with bounded approximate identity and suppose the center Z(A) of A is completely regular. We denote by suppB(x) the hull-kernel closure of {P∈Prim B: x〓P} whenever B is an algebra with structure space Prim B and x∈B. suppB(x) is called the support of x. Also denote by B00 the set of all x∈B such that suppB(x) is quasicompact, namely it satisfies the Borel-Lebesgue axiom without necessarily being Hausdorff. Let Φ be Dixmier's representation of Z(M(A)), the central double centralizer algebra of A (see [4] for definition) and Z00(A) the set of all z∈Z(A) such that supp (ΦLz) is quasicompact. Here Lz(x)=zx, x∈A and supp (ΦLz) is the hull-kernel closure of {P∈Prim A: ΦLz(P)≠0}. Actually Z00(A)=A00∩Z(A)⊂(Z(A))00 (cf. [5, Lemma 3.4 and 3.7]). However Z00(A)=(Z(A))00 was left open in [5]. The following result asserts that this is true.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133958153","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On the kernels of pseudo-differential operators 关于伪微分算子的核
Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics Pub Date : 1986-05-31 DOI: 10.5036/BFSIU1968.18.13
K. Yabuta
{"title":"On the kernels of pseudo-differential operators","authors":"K. Yabuta","doi":"10.5036/BFSIU1968.18.13","DOIUrl":"https://doi.org/10.5036/BFSIU1968.18.13","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"93 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1986-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116256601","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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