S. Okamoto, Ryoichi Inoue, Yosiaki Nakamura, K. Hatsuse
{"title":"The editor ef","authors":"S. Okamoto, Ryoichi Inoue, Yosiaki Nakamura, K. Hatsuse","doi":"10.5036/BFSIU1968.18.19","DOIUrl":"https://doi.org/10.5036/BFSIU1968.18.19","url":null,"abstract":"Ef is a text editor which is useful for beginners who work on our computer system SDC-68K1) with Unix2) as operating system. In the development of ef, we used the programming language C, and hence, ef can be used to other Unix system with a little modification. The main feature are as follows: (a) Ef is a screen-oriented editor and has three modes called text-, scratchpadand command-mode respectively.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"21 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":"116805070","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}
{"title":"Lp-boundedness of pseudo-differential operators with non-regular symbols","authors":"Akihiko Miyachi, K. Yabuta","doi":"10.5036/BFSIU1968.17.1","DOIUrl":"https://doi.org/10.5036/BFSIU1968.17.1","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"72 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1985-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130620557","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}
{"title":"Solvability of a certain integral equation and its application","authors":"T. Horiuchi","doi":"10.5036/BFSIU1968.17.31","DOIUrl":"https://doi.org/10.5036/BFSIU1968.17.31","url":null,"abstract":"where Q is a sufficiently small region in Rn+ and h(x,y) is a given kernal function belonging to the class Kα,βγ(Rn+,Rn+) defined in §1. In order to solve (0,1), we shall make use of the Neumann series and verify its absolute convergence for a sufficiently small Q Secondly, as its application, we shall construct a fundamental solution for the degenerated elliptic operator which was already treated in author's paper [3]. More precisely, in [3] we treated the operator A defined on a domain Ω in Rn which is approximated, near the boundary, by the following simple operator Lα in the half space Rn+:","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"83 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1985-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131732640","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}
{"title":"LCM-Stability and Flatness","authors":"KEN-ICHI Yoshida","doi":"10.5036/BFSIU1968.17.45","DOIUrl":"https://doi.org/10.5036/BFSIU1968.17.45","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"112 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1985-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124265096","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}
{"title":"Generalizations of Multiplicative Ideal Theory to Commutative Rings with Zerodivisors","authors":"Ryuki Matsuda","doi":"10.5036/BFSIU1968.17.49","DOIUrl":"https://doi.org/10.5036/BFSIU1968.17.49","url":null,"abstract":"Multiplicative ideal theory has at first been developed for (commutative) integral domains. We concern here generalizations of the theory to (commutative) rings with zerodivisors. At first, Manis [50] defined a valuation for a commutative ring with zerodivisors, and generalized basic properties of a valuation on a domain(1). Using the results of Manis, Griffin [35] extended the notion of prufer domain for commutative rings with zerodivisors, and extended conditions under which a ring is a prufer ring. And Larsen generalized the notion and properties of almost Dedekind domain for rings with zerodivisors [46], generalized primary ideal structure of a prufer domain for a ring with zerodivisors. Also he extended the notion of finite character and characterizations of a prufer domain with finite character for a ring with zerodivisors [47]. Next Hinkle-Huckaba [38] defined a Kronecker function ring for a ring with zerodivisors and generalized a property of a Kronecker function domain(2). Besides, Kennedy [43] extended the notion of Krull domain for a ring with zerodivisors and generalized some properties of a Krull domain for a ring with zerodivisors(3). Here we generalize all of multiplicative ideal theory for a ring with zerodivisors. The subjects remaining for generalizations are as follows: 1. We know by Griffin [32] the extension of conditions of a prufer domain to a prufer *-multiplication domain, and a relationship between a prufer v-multiplication domain and a domain of Krull type.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"40 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1985-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121842337","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}
{"title":"Remarks on the Henstock Integral of Stieltjes Type","authors":"Y. Kubota","doi":"10.5036/BFSIU1968.17.25","DOIUrl":"https://doi.org/10.5036/BFSIU1968.17.25","url":null,"abstract":"Let f:[a, b]→ R be bounded and g:[a, b]→ R be of bounded variation.It is shown that f is Henstock integrable with respect to g on [a, b] if and only if f is Young refinement integrable with respect g on [a, b], and both integrals have the same value.Some relations to the mean Stieltjes integral will also be given.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1985-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121382859","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}
{"title":"Bounded Approximate Identities and Quasicentrality of Banach Modules","authors":"Sin-Ei Takahasi","doi":"10.5036/BFSIU1968.17.21","DOIUrl":"https://doi.org/10.5036/BFSIU1968.17.21","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"71 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1985-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130786167","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}
{"title":"Compact Central Double Centralizers on Strongly Semi-simple Banach Algebras","authors":"Sin-Ei Takahasi","doi":"10.5036/BFSIU1968.16.25","DOIUrl":"https://doi.org/10.5036/BFSIU1968.16.25","url":null,"abstract":"","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"35 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132961497","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}
{"title":"Correction and Remark to \"Continuity of the mean values of BMO functions and Calderon-Zygmund properties of certain singular integrals\"","authors":"K. Yabuta","doi":"10.5036/BFSIU1968.16.53","DOIUrl":"https://doi.org/10.5036/BFSIU1968.16.53","url":null,"abstract":"These are singular integrals of Calderon type, related to the Cauchy integral. Then, quite recently, Murai [2] has shown that T1 and T2 are bounded on L2(R). On the other hand, as in our former paper [3], one can easily check that the kernels in the above singular integrals satisfy the desired conditions (3.1), (3.2) and (3.3) in [3]. Hence they are Calderon-Zygmund singular integral operators. Finally we note that, because of the Calderon-Zygmund property, weighted norm inequalities hold for them, i.e., if 1<p<∞ and w(x)∈Ap(R), then","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"396 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126753850","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}
{"title":"Construction of Fundamental Solutions for Certain Degenerated Elliptic Operators","authors":"T. Horiuchi","doi":"10.5036/BFSIU1968.16.33","DOIUrl":"https://doi.org/10.5036/BFSIU1968.16.33","url":null,"abstract":"The purpose of this memoire is to construct fundamental solutions for certain degenerated dliptic operators A defined in a domain Ω of Rn. Operators A that we treat are of the same type as ones in Baouendi-Goulaouic [1] and in GoulaouicShimakura [2]. In other words, they have, roughly speaking, the following properties (see the hypotheses [H-1]~[H-5] in §2): (a) They are second-order linear differential operators with smooth coefficients.","PeriodicalId":141145,"journal":{"name":"Bulletin of The Faculty of Science, Ibaraki University. Series A, Mathematics","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1984-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132298142","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}