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

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A Banach algebra structure for the Wiener algebra of the disc 圆盘的维纳代数的巴拿赫代数结构
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-03-15 DOI: 10.1080/02781070500032911
M. Karaev, S. Saltan †
{"title":"A Banach algebra structure for the Wiener algebra of the disc","authors":"M. Karaev, S. Saltan †","doi":"10.1080/02781070500032911","DOIUrl":"https://doi.org/10.1080/02781070500032911","url":null,"abstract":"We prove that the Wiener disc algebra of all holomorphic functions in the unit disc is a Banach algebra with respect to the Duhamel product We also give applications of the Duhamel product in description of cyclic vectors of the convolution operators and commutant of Volterra integration operator.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"69 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115801552","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: 13
Commutators and singular integral operators in Clifford analysis Clifford分析中的换向子和奇异积分算子
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-03-15 DOI: 10.1080/02781070410001732197
R. Blaya, Juan Bory Reyes §
{"title":"Commutators and singular integral operators in Clifford analysis","authors":"R. Blaya, Juan Bory Reyes §","doi":"10.1080/02781070410001732197","DOIUrl":"https://doi.org/10.1080/02781070410001732197","url":null,"abstract":"In this paper we develop a method for setting the compactness of the commutator relative to the singular integral operator acting on Hölder continuous functions over Ahlfors David regular surfaces in R n+1 . This method is based on the essential use of the monogenic decomposition of Hölder continuous functions. We also set forth explicit representations of the adjoints of the singular Cauchy type integral operators, relative to a total subset of real functionals.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"61 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130013297","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: 5
Integral representation and asymptotic property of analytic functions with order less than two in the half-plane 半平面上小于2阶解析函数的积分表示及其渐近性质
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-03-15 DOI: 10.1080/02781070412331328602
Y. Zhang, Guantie Deng
{"title":"Integral representation and asymptotic property of analytic functions with order less than two in the half-plane","authors":"Y. Zhang, Guantie Deng","doi":"10.1080/02781070412331328602","DOIUrl":"https://doi.org/10.1080/02781070412331328602","url":null,"abstract":"An integral representation for some analytic functions with order less than 2 in the half-plane is established, and an asymptotic property of subharmonic functions with an integral representation is discussed.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130005781","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: 5
Analytic mean-periodic functions associated with the Dunkl operator in a disk 磁盘中与Dunkl算子相关的解析平均周期函数
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-20 DOI: 10.1080/02781070412331273234
N. B. Salem, S. Kallel †
{"title":"Analytic mean-periodic functions associated with the Dunkl operator in a disk","authors":"N. B. Salem, S. Kallel †","doi":"10.1080/02781070412331273234","DOIUrl":"https://doi.org/10.1080/02781070412331273234","url":null,"abstract":"In this article, we consider the Dunkl operator of index k, k≥ 0, on . We introduce analytic mean-periodic functions associated with in a disk and we study the expansion of a mean-periodic function in series with respect to appropriate exponential monomials.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126002623","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
Approximation by the Riemann zeta-function 黎曼函数的近似
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-20 DOI: 10.1080/02781070412331331491
P. Gauthier, N. Tarkhanov
{"title":"Approximation by the Riemann zeta-function","authors":"P. Gauthier, N. Tarkhanov","doi":"10.1080/02781070412331331491","DOIUrl":"https://doi.org/10.1080/02781070412331331491","url":null,"abstract":"Any meromorphic function having at most simple poles can be approximated by linear combinations of translates of the Riemann zeta-function. In particular, an arbitrary holomorphic function can be so approximated. If derivatives of the zeta-function are allowed, then arbitrary meromorphic functions can be approximated.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134442549","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
Some results on Berezin symbols 关于Berezin符号的一些结果
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-20 DOI: 10.1080/02781070500032861
M. Karaev, S. Saltan †
{"title":"Some results on Berezin symbols","authors":"M. Karaev, S. Saltan †","doi":"10.1080/02781070500032861","DOIUrl":"https://doi.org/10.1080/02781070500032861","url":null,"abstract":"The Berezin symbols are used in the description of Schatten–von Neumann classes σ p , 0<p<∞, in the proof of a unicity theorem of Nikolski and in the approximation problem for inner functions.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131733137","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: 23
Faber series with Ostrowski gaps 具有Ostrowski间隙的Faber级数
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-10 DOI: 10.1080/02781070412331332517
D. Mayenberger, J. Müller
{"title":"Faber series with Ostrowski gaps","authors":"D. Mayenberger, J. Müller","doi":"10.1080/02781070412331332517","DOIUrl":"https://doi.org/10.1080/02781070412331332517","url":null,"abstract":"Let G be a simply connected domain in the complex plane. For a function f holomorphic in G, Faber expansions with respect to appropriate compact subsets of G are considered. It is shown that if f has so-called Ostrowski gaps with respect to one such compact set, then certain subsequences of the partial sums with respect to different compact sets have an equiconvergence property. This implies that the Ostrowski gap structure is shared by all Faber expansions of f. Moreover, it is shown that the equiconvergence property has some implications for universal Faber series. Corresponding (known) results for Taylor series are obtained as special cases.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133213385","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
Capacity of a condenser whose plates are circular arcs 板式为圆弧的冷凝器的容量
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-10 DOI: 10.1080/02781070412331331464
Dmitrii Karp
{"title":"Capacity of a condenser whose plates are circular arcs","authors":"Dmitrii Karp","doi":"10.1080/02781070412331331464","DOIUrl":"https://doi.org/10.1080/02781070412331331464","url":null,"abstract":"We find an asymptotic formula for the conformal capacity of a plane condenser both plates of which are concentric circular arcs as the distance between them vanishes. This result generalizes the formula for the capacity of parallel linear plate condenser found by Simonenko and Chekulaeva (1972). On a capacity of a condenser consisting of infinite bands, Izv. Vyssh. Uchebn. Zaved. Elektromekh., 4, 362–370 (in Russian) and sheds light on the problem of finding an asymptotic formula for the capacity of condenser whose plates are arbitrary parallel curves. This problem was posed and partially solved by R. Kühnau (1998). Randeffekten beim elektostatischen Kondensator, Zap. Nauchn. Semin. POMI, 254, 132–154.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121822256","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: 6
On the hyperbolic length and quasiconformal mappings 关于双曲长度和拟共形映射
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-10 DOI: 10.1080/02781070412331328206
H. Shiga
{"title":"On the hyperbolic length and quasiconformal mappings","authors":"H. Shiga","doi":"10.1080/02781070412331328206","DOIUrl":"https://doi.org/10.1080/02781070412331328206","url":null,"abstract":"Let ϕ : R → S be a K-quasiconformal mapping of a hyperbolic Riemann surface R to another S. It is important to see how the hyperbolic structure is changed by ϕ. S. Wolpert (1979, The length spectrum as moduli for compact Riemann surfaces. Ann. of Math. 109, 323–351) shows that the length of a closed geodesic is quasi-invariant. Recently, A. Basmajian (2000, Quasiconformal mappings and geodesics in the hyperbolic plane, in The Tradition of Ahlfors and Bers, Contemp. Math. 256, 1–4) gives a variational formula of distances between geodesics in the upper half-plane. In this article, we improve and generalize Basmajian's result. We also generalize Wolpert's formula for loxodromic transformations.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124885297","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
Approximation properties of holomorphic pairs of differential forms 微分形式全纯对的逼近性质
Complex Variables, Theory and Application: An International Journal Pub Date : 2005-02-10 DOI: 10.1080/02781070412331331482
Alien Herrera Torres, A. Presa
{"title":"Approximation properties of holomorphic pairs of differential forms","authors":"Alien Herrera Torres, A. Presa","doi":"10.1080/02781070412331331482","DOIUrl":"https://doi.org/10.1080/02781070412331331482","url":null,"abstract":"This article is devoted to the study of approximative properties of pairs of forms (wr −1,wr +1), of degrees (r − 1) and (r + 1), respectively, which satisfies the equations in some open set of an Euclidean space of finite dimension. We call such pairs holomorphic pairs of differential forms. For these pairs, two theorems, analogous to the classical Runge Theorem and to the Hartogs–Rosenthal theorem, respectively, are obtained.","PeriodicalId":272508,"journal":{"name":"Complex Variables, Theory and Application: An International Journal","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2005-02-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128249888","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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