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Complex Variables, Theory and Application: An International Journal最新文献

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Boundary behavior of monotone Sobolev functions on John domains in a metric space 度量空间John域上单调Sobolev函数的边界行为
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-05-15 DOI: 10.1080/02781070500140532
Toshihide Futamura, Y. Mizuta
{"title":"Boundary behavior of monotone Sobolev functions on John domains in a metric space","authors":"Toshihide Futamura, Y. Mizuta","doi":"10.1080/02781070500140532","DOIUrl":"https://doi.org/10.1080/02781070500140532","url":null,"abstract":"This article deals with weighted boundary limits of monotone Sobolev functions on bounded s-John domains in a metric space.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125568668","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: 12
Two results on uniqueness of conformal mappings 关于保角映射唯一性的两个结果
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-05-15 DOI: 10.1080/02781070500140573
S. Krantz
{"title":"Two results on uniqueness of conformal mappings","authors":"S. Krantz","doi":"10.1080/02781070500140573","DOIUrl":"https://doi.org/10.1080/02781070500140573","url":null,"abstract":"In this article, we give new, elementary, and very geometric proofs of two results in conformal mapping theory. One of these – about the size of the isotropy group of the set of conformal mappings of a domain – is nearly three-quarters of a century old. The other – about fixed points – is just two decades old.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124028815","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
Spectral factorization in the disk algebra 磁盘代数中的谱分解
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-05-15 DOI: 10.1080/02781070500044460
H. Boche **, V. Pohl
{"title":"Spectral factorization in the disk algebra","authors":"H. Boche **, V. Pohl","doi":"10.1080/02781070500044460","DOIUrl":"https://doi.org/10.1080/02781070500044460","url":null,"abstract":"Every strictly positive function f, given on the unit circle of the complex plane, defines an outer function. This article investigates the behavior of these outer functions on the boundary of the unit disk. It is shown that even if the given function f on the boundary is continuous, the corresponding outer function is generally not continuous on the closure of the unit disk. Moreover, any subset E∈ [-π ,π) of Lebesgue measure zero is a valid divergence set for outer functions of some continuous functions f. These results are applied to study the solutions of non-linear boundary-value problems and the factorization of spectral density functions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"400 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114927268","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: 11
Real Schottky parametrizations 真正的肖特基参数化
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-05-15 DOI: 10.1080/02781070500139807
R. Hidalgo
{"title":"Real Schottky parametrizations","authors":"R. Hidalgo","doi":"10.1080/02781070500139807","DOIUrl":"https://doi.org/10.1080/02781070500139807","url":null,"abstract":"A real algebraic curve of genus g is a pair (S,τ), where S is a closed Riemann surface of genus g and τ :S → S is an anticonformal involution. It was already known to Koebe that each real algebraic curve for which τ is a reflection can be uniformized by a real Schottky group, that is, a Schottky group that keeps invariant the unit circle. In the case that τ is an imaginary reflection, we produce uniformizations by either (i) real noded Klein–Schottky groups (once we have chosen some points on S as phantom nodes) or (ii) Klein–Schottky groups. We also give explicit descriptions of the real algebraic curves of genus 2 in terms of these types of uniformizing groups.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124743651","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
A surjectivity theorem for differential operators on spaces of regular functions 正则函数空间上微分算子的满射定理
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-05-15 DOI: 10.1080/02781070500132679
F. Colombo, A. Damiano, I. Sabadini, D. Struppa
{"title":"A surjectivity theorem for differential operators on spaces of regular functions","authors":"F. Colombo, A. Damiano, I. Sabadini, D. Struppa","doi":"10.1080/02781070500132679","DOIUrl":"https://doi.org/10.1080/02781070500132679","url":null,"abstract":"In this article we show that it is possible to construct a Koszul-type complex for maps given by suitable pairwise commuting matrices of polynomials. This result has applications to surjectivity theorems for constant coefficients differential operators of finite and infinite order. In particular, we construct a large class of constant coefficients differential operators which are surjective on the space of regular (or monogenic) functions on open convex sets.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121642719","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: 9
A Weierstrass representation theorem for Lorentz surfaces 洛伦兹曲面的Weierstrass表示定理
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-04-15 DOI: 10.1080/02781070500032895
J. Konderak
{"title":"A Weierstrass representation theorem for Lorentz surfaces","authors":"J. Konderak","doi":"10.1080/02781070500032895","DOIUrl":"https://doi.org/10.1080/02781070500032895","url":null,"abstract":"We consider functions with values in the algebra of Lorentz numbers which are differentiable with respect to the algebraic structure of as an analogue of holomorphic functions. Then we apply these functions to prove a Weierstrass representation theorem for Lorentz surfaces immersed in the space . In the proof we essentially follow the model of the complex numbers. We apply our representation theorem to construct explicit minimal immersions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"160 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129966887","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: 44
Polynomial solution of the most general linear Fredholm integrodifferential–difference equations by means of Taylor matrix method 用泰勒矩阵法求最一般的线性Fredholm积分-微分-差分方程的多项式解
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-04-15 DOI: 10.1080/02781070500128354
Mehmet Sezer, Mustafa Gülsu
{"title":"Polynomial solution of the most general linear Fredholm integrodifferential–difference equations by means of Taylor matrix method","authors":"Mehmet Sezer, Mustafa Gülsu","doi":"10.1080/02781070500128354","DOIUrl":"https://doi.org/10.1080/02781070500128354","url":null,"abstract":"In this article, a Taylor matrix method is developed to find an approximate solution of the most general linear Fredholm integrodifferential–difference equations with variable coefficients under the mixed conditions in terms of Taylor polynomials. Also numerical examples are presented, which illustrate the pertinent features of the method. In some numerical examples, MAPLE modules are designed for the purpose of testing and using the method.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130775441","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: 41
On a topological description of solutions of complex differential equations 复微分方程解的拓扑描述
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-04-15 DOI: 10.1080/02781070500032879
G. Barsegian, D. Le
{"title":"On a topological description of solutions of complex differential equations","authors":"G. Barsegian, D. Le","doi":"10.1080/02781070500032879","DOIUrl":"https://doi.org/10.1080/02781070500032879","url":null,"abstract":"In this article we give a topological approach to the global behavior of arbitrary single-valued solutions in a simple connected domain of some general classes of complex differential equations with multi-valued coefficients. In particular, this permits us to describe certain globally multi-valued solutions as well as algebraic and algebroid solutions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121803244","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: 15
Weighted BMOA spaces and composition operators 加权BMOA空间和组合运算符
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-04-15 DOI: 10.1080/02781070500032788
Li Songxiao, Zhuang Xiangling
{"title":"Weighted BMOA spaces and composition operators","authors":"Li Songxiao, Zhuang Xiangling","doi":"10.1080/02781070500032788","DOIUrl":"https://doi.org/10.1080/02781070500032788","url":null,"abstract":"This article provides information on p-logarithmic s-Carleson measure characterization of the weighted BMOA spaces. Also, the boundedness and compactness of composition operators from Bloch-type space and weighted Bloch space to weighted BMOA space are discussed.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116642109","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
Generalizations of parts of Grace's apolarity theorem involving circular regions (with a characteristic) and their applications 涉及圆区域(带特征)的格雷斯极性定理部分的推广及其应用
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-04-15 DOI: 10.1080/02781070500087766
V. K. Jain
{"title":"Generalizations of parts of Grace's apolarity theorem involving circular regions (with a characteristic) and their applications","authors":"V. K. Jain","doi":"10.1080/02781070500087766","DOIUrl":"https://doi.org/10.1080/02781070500087766","url":null,"abstract":"According to Grace's apolarity theorem, if the coefficient of two polynomials satisfy the equation then (i) f(z) has at least one zero, in a circular region C containing all zeros of g(z) (ii) g(z) has at least one zero, in a circular region C containing all zeros of f(z). We have obtained generalizations of (i), by considering g(z) to be any polynomial of degree not exceeding n and C to be a circular region (containing 0) or a circular region with a convex complement and generalizations of (ii), by considering g(z) to be any polynomial of degree not exceeding n and C to be a circular region (not containing 0) or a convex circular region. We have applied these generalizations to the study of the zeros of certain composite polynomials (obtained from two given polynomials), thereby leading also to certain generalizations of Szegö's theorem [Szegö, G., 1922, Bemerkungen zu einem Satz von J.H. Grace über die Wurzeln algebraischer Gleichungen. Mathematische Zeitschrift, 13, 28–55.] involving circular regions (with a characteristic).","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130839369","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: 1
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