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Multilinear analysis for discrete and periodic pseudo-differential operators inLp-spaces 线性空间中离散和周期伪微分算子的多线性分析
Revista Integración Pub Date : 2018-12-12 DOI: 10.18273/REVINT.V36N2-2018006
Duv'an Cardona, Vishvesh Kumar
{"title":"Multilinear analysis for discrete and periodic pseudo-differential operators inLp-spaces","authors":"Duv'an Cardona, Vishvesh Kumar","doi":"10.18273/REVINT.V36N2-2018006","DOIUrl":"https://doi.org/10.18273/REVINT.V36N2-2018006","url":null,"abstract":"In this note we announce our investigation on the L properties for periodic and discrete multilinear pseudo-differential operators. First, we review the periodic analysis of multilinear pseudo-differential operators by showing classical multilinear Fourier multipliers theorems (proved by Coifman and Meyer, Tomita, Miyachi, Fujita, Grafakos, Tao, etc.) in the context of periodic and discrete multilinear pseudo-differential operators. For this, we use the periodic analysis of pseudo-differential operators developed by Ruzhansky and Turunen. The s-nuclearity, 0 < s ≤ 1, for the discrete and periodic multilinear pseudo-differential operators will be investigated. To do so, we classify those s-nuclear, 0 < s ≤ 1, multilinear integral operators on arbitrary Lebesgue spaces defined on σ-finite measures spaces. Finally, we present some applications of our analysis to deduce the periodic Kato-Ponce inequality and to examine the s-nuclearity of multilinear Bessel potentials as well as the s-nuclearity of periodic Fourier integral operators admitting suitable types of singularities.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"47 7","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120884443","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: 16
Reseña de la búsqueda de hacer agujeros 对挖洞搜索的回顾
Revista Integración Pub Date : 2018-12-12 DOI: 10.18273/REVINT.V36N2-2018003
José G. Anaya, David Maya, A. M. D. Oca
{"title":"Reseña de la búsqueda de hacer agujeros","authors":"José G. Anaya, David Maya, A. M. D. Oca","doi":"10.18273/REVINT.V36N2-2018003","DOIUrl":"https://doi.org/10.18273/REVINT.V36N2-2018003","url":null,"abstract":"espanolUn espacio topologico conexo Z es unicoherente si para cualesquiera A y B cerrados y conexos de Z, tales que Z = A ∪ B, se tiene que A ∩ B es conexa. Sea Z un espacio unicoherente: decimos que z ∈ Z agujera a Z si Z − {z} no es unicoherente. Un problema de reciente estudio es: dado un espacio topologico unicoherente H(Z), obtenido de un espacio topologico Z, ?cuales elementos A ∈ H(Z) lo agujerean? Este trabajo consiste en dar una resena de los resultados que hasta la fecha se conocen de este problema. EnglishA connected topological space Z is unicoherent provided that if Z = A ∪ B, where A and B are closed connected subsets of Z, then A ∩ B is connected. Let Z be a unicoherent space: we say that z ∈ Z makes a hole in Z if Z − {z} is not unicoherent. A problem of recent study is: given a topological space unicoherent H(Z), obtained from a topological space Z, which elements A ∈ H(Z) makes a hole? This work consists in giving a review of the results known to date of this problem.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"64 8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131193647","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
Un algoritmo tipo Newton globalizado para resolver la ecuación cuadrática matricial 求解矩阵二次方程的全局牛顿算法
Revista Integración Pub Date : 2018-12-12 DOI: 10.18273/revint.v36n2-2018004
Mauricio Macías, H. Martínez, R. Pérez
{"title":"Un algoritmo tipo Newton globalizado para resolver la ecuación cuadrática matricial","authors":"Mauricio Macías, H. Martínez, R. Pérez","doi":"10.18273/revint.v36n2-2018004","DOIUrl":"https://doi.org/10.18273/revint.v36n2-2018004","url":null,"abstract":"Resumen. En este artículo se presenta una globalización del algoritmo cuasiNewton local propuesto en [16] para resolver la ecuación cuadrática matricial. Se demuestra que la estrategia de globalización usada no interfiere en la tasa de convergencia del algoritmo cuasi-Newton. Pruebas numéricas muestran un buen desempeño del algoritmo global propuesto. Palabras clave: Función matricial, método de Newton, ecuaciones matriciales no lineales, convergencia. MSC2010: 15A24, 39B42, 49M15, 65H20, 90C53.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126629960","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
Hermite-Hadamard type inequalities, convex stochastic processes and Katugampolafractional integral Hermite-Hadamard型不等式，凸随机过程和katugampolattraction积分
Revista Integración Pub Date : 2018-12-12 DOI: 10.18273/revint.v36n2-2018005
Jorge E. Hernández H., J. Gómez
{"title":"Hermite-Hadamard type inequalities, convex stochastic processes and Katugampolafractional integral","authors":"Jorge E. Hernández H., J. Gómez","doi":"10.18273/revint.v36n2-2018005","DOIUrl":"https://doi.org/10.18273/revint.v36n2-2018005","url":null,"abstract":". In this work we present some Hermite-Hadamard type ine-qualities for convex Stochastic Processes using the Katugampola fractional integral, and from these results specific cases are deduced for the Riemann-Liouville fractional integral and Riemann integral. Also, a refinement of the aforementioned inequality is presented.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121905045","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
Solución numérica de un problema inverso aplicando un algoritmo genético continuo
Revista Integración Pub Date : 2018-12-12 DOI: 10.18273/revint.v36n2-2018001
Stefan Berres, Aníbal Coronel, Richard Lagos
{"title":"Solución numérica de un problema inverso aplicando un algoritmo genético continuo","authors":"Stefan Berres, Aníbal Coronel, Richard Lagos","doi":"10.18273/revint.v36n2-2018001","DOIUrl":"https://doi.org/10.18273/revint.v36n2-2018001","url":null,"abstract":"Resumen. En este artículo se considera el problema de la determinación de la función de flujo en una ley de conservación escalar que modela el fenómeno de sedimentación. Los datos de la observación experimental utilizada para la calibración corresponden a un perfil de la concentración de sólidos en un tiempo fijo. El problema de identificación se formula como uno de optimización, donde la función objetivo es la de mínimos cuadrados que minimiza la distancia entre los perfiles solución del modelo y la observación. La solución del problema directo es aproximada por un esquema de volúmenes finitos monótono. La solución numérica del problema de calibración se obtiene mediante un algoritmo genético continuo. Se presentan resultados numéricos para validar la eficiencia del algoritmo propuesto.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128414103","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
Sobre el índice de acotamiento de grupostopológicos 关于群拓扑的极限指数
Revista Integración Pub Date : 2018-12-12 DOI: 10.18273/revint.v36n2-2018002
Alejandro amírez-Páramo, Jesús F. Tenorio
{"title":"Sobre el índice de acotamiento de grupostopológicos","authors":"Alejandro amírez-Páramo, Jesús F. Tenorio","doi":"10.18273/revint.v36n2-2018002","DOIUrl":"https://doi.org/10.18273/revint.v36n2-2018002","url":null,"abstract":"These notes provide a brief introduction to the index of boundedness in topological groups. We give, in an almost self-contained way, the necessary tools of cardinal functions, as well as the basic facts of the theory of topological groups.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129011867","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 survey of s-unital and locally unital rings s酉环和局部酉环的综述
Revista Integración Pub Date : 2018-09-06 DOI: 10.18273/revint.v37n2-2019003
Patrik Nystedt
{"title":"A survey of s-unital and locally unital rings","authors":"Patrik Nystedt","doi":"10.18273/revint.v37n2-2019003","DOIUrl":"https://doi.org/10.18273/revint.v37n2-2019003","url":null,"abstract":"We gather some classical results and examples that show strictinclusion between the families of unital rings, rings with enough idempotents,rings with sets of local units, locally unital rings, s-unital rings and idempo-tent rings.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128045015","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: 21
Forma de Jordan de la derivada de Fréchet de funciones matriciales 矩阵函数frechet导数的约当形式
Revista Integración Pub Date : 2018-07-24 DOI: 10.18273/REVINT.V36N1-2018001
M. A. Marmolejo
{"title":"Forma de Jordan de la derivada de Fréchet de funciones matriciales","authors":"M. A. Marmolejo","doi":"10.18273/REVINT.V36N1-2018001","DOIUrl":"https://doi.org/10.18273/REVINT.V36N1-2018001","url":null,"abstract":"espanolEn este articulo se presenta una formula para evaluar funciones matriciales f : A ⊂ C 2×2 → C 2×2, en terminos de dos funciones escalares que solo dependen de la traza y el determinante de X ∈ C 2×2 . Se explota el conocimiento de las derivadas de Frechet de las funciones traza y determinante para determinar la derivada de Frechet de f(·). Como resultado central, se da la forma canonica de Jordan de la derivada de Frechet Df(X) : C 2×2 → C 2×2. EnglishIn this paper we present a formula to evaluate matrix functions f : A ⊂ C 2×2 → C 2×2, in terms of two scalar functions that only depend on the trace and the determinant of X ∈ C 2×2 . The knowledge of the Frechet derivatives of the trace and determinant functions is used to determine the Frechet derivative of f(·). As a central result, Jordan's canonical form of the Frechet derivative Df(X) : C 2×2 → C 2×2 is given.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132935634","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
Different types of backward bifurcations on account of an improvement in treatment efficiency 不同类型的后向分岔由于处理效率的提高
Revista Integración Pub Date : 2018-07-24 DOI: 10.18273/REVINT.V36N1-2018002
Shaday Guerrero-Flores, O. Osuna, G. Villavicencio-Pulido
{"title":"Different types of backward bifurcations on account of an improvement in treatment efficiency","authors":"Shaday Guerrero-Flores, O. Osuna, G. Villavicencio-Pulido","doi":"10.18273/REVINT.V36N1-2018002","DOIUrl":"https://doi.org/10.18273/REVINT.V36N1-2018002","url":null,"abstract":"espanolComprender por que existen estados endemicos multiples cuando R0 1. En este trabajo se analiza un modelo del tipo SIR con una tasa de tratamiento densodependiente. Se explica la naturaleza del punto de donde surge la bifurcacion hacia atras en funcion de la velocidad de la tasa de tratamiento per capita. Se propondran estrategias para el control o erradicacion de la enfermedad en funcion de la eficiencia del tratamiento. EnglishUnderstanding why there are multiple equilibrium points when R0 1. In this work, an SIR model with a density-dependent treatment rate is analyzed. The nature of the point where backward bifurcation emerges is explained in function of the velocity of the per-capita treatment rate. Strategies for the control or eradication of the disease will be proposed in function of the efficiency of the treatment.","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114207387","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
A proof of Holsztyński theorem Holsztyński定理的证明
Revista Integración Pub Date : 2018-07-24 DOI: 10.18273/REVINT.V36N1-2018005
M. A. Rincón-Villamizar
{"title":"A proof of Holsztyński theorem","authors":"M. A. Rincón-Villamizar","doi":"10.18273/REVINT.V36N1-2018005","DOIUrl":"https://doi.org/10.18273/REVINT.V36N1-2018005","url":null,"abstract":"Abstract. For a compact Hausdorff space, we denote by C(K) the Banach space of continuous functions defined in K with values in R or C. A well known result in Banach spaces of continuous functions is the Holsztyński theorem which establishes that if C(K) is isometric to a subspace of C(S), then K is a continuous image of S. The aim of this paper is to give an alternative proof of this result for extremely regular subspaces of C(K).","PeriodicalId":402331,"journal":{"name":"Revista Integración","volume":"56 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130973479","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
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