Rodolfo Torres

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SILVIA DOMINGUEZ GUTIERREZ

Universidad de Guadalajara

José Millet Escritor y Etnólogo

Universidad Nacional Experimental Francisco de Miranda

María de los Angeles Lopez

Universidad Nacional del Sur

Marcela Silva

Universidad Autónoma de Nuevo León

Marco Vinicio Cevallos Bravo

Universidad Central del Ecuador (UCE)

Cristian RemiGio P

UAEM

Walter Carpes Jr

Universidade Federal de Santa Catarina - UFSC (Federal University of Santa Catarina)

M. Florencia Maggi

Universidad Nacional de Córdoba

Investigaciones C E G Razonamiento Científico UNAB

Universidad Andrés Bello

Ana Ines Portu

Universidad Nacional de La Pampa

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Papers by Rodolfo Torres

Cambios geoquímicos en fluidos del campo geotérmico de Las Tres Vírgenes, BCS, durante 1997-2007: Identificación de procesos de yacimiento

Geotermia - Revista Mexicana de Geoenergia

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Mixing and dilution processes at the Las Tres Vírgenes (México) geothermal reservoir indicated by 1997-2007 geochemical data

Objectives To characterize the mixing and dilution processes occurring at Las Tres Vírgenes reser... more Objectives To characterize the mixing and dilution processes occurring at Las Tres Vírgenes reservoir through the geochemical characteristics of fluids discharged over time, in order to give support to studies related to both the scaling phenomena and the hydrological behavior of the reservoir. This study included historical geochemical data for wells LV-1, LV-3, LV-4, LV-5, LV-11 and LV-13 provided by Comisión Federal de Electricidad.

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$Research paper thumbnail of Sharp weighted bounds for fractional integral operators$

Sharp weighted bounds for fractional integral operators

The relationship between the operator norms of fractional integral operators acting on weighted L... more The relationship between the operator norms of fractional integral operators acting on weighted Lebesgue spaces and the constant of the weights is investigated. Sharp boundsare obtained for both the fractional integral operators and the associated fractional maximal functions. As an application improved Sobolev inequalities are obtained. Some of the techniques used include a sharp off-diagonal version of the extrapolation theorem

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Modulation invariant bilinear T(1) theorem

We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dim... more

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Compact bilinear commutators: The weighted case

The Michigan Mathematical Journal, 2015

Commutators of bilinear Calderón-Zygmund operators and multiplication by functions in a certain s... more

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Discrete decompositions for bilinear operators and almost diagonal conditions

by Rodolfo Torres and Loukas Grafakos

Transactions of the American Mathematical Society, 2002

Using discrete decomposition techniques, bilinear operators are naturally associated with triline... more Using discrete decomposition techniques, bilinear operators are naturally associated with trilinear tensors. An intrinsic size condition on the entries of such tensors is introduced and is used to prove boundedness for the corresponding bilinear operators on several products of function spaces. This condition should be considered as the direct analogue of an almost diagonal condition for linear operators of Calderón-Zygmund type. Applications include a reduced T 1 theorem for bilinear pseudodifferential operators and the extension of an L p multiplier result of Coifman and Meyer to the full range of H p spaces. The results of this article rely on decomposition techniques developed by Frazier and Jawerth and on the vector valued maximal estimate of Fefferman and Stein.

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Pseudodifferential operators with homogeneous symbols

by Rodolfo Torres and Loukas Grafakos

The Michigan Mathematical Journal, 1999

... MO 65211 Rodolfo H. Torres y Department of Mathematics University of Kansas Lawrence, KS 6604... more

<title>Intelligent detection and diagnosis of lightning arrester faults using digital thermovision image processing techniques</title>

by Rodolfo Torres and Walmir Caminhas

Thermosense XXVII, 2005

This paper describes a methodology that aims to detect and diagnosis faults in lightning arrester... more This paper describes a methodology that aims to detect and diagnosis faults in lightning arresters, using the thermovision technique. Thermovision is a non-destructive technique used in diverse services of maintenance, having the advantage not to demand the disconnection of the equipment under inspection. It uses a set of neuro-fuzzy networks to achieve the lightning arresters fault classification. The methodology also

On multilinear singular integrals of Calderón-Zygmund type

by Rodolfo Torres and Loukas Grafakos

Publicacions Matemàtiques, 2002

A variety of results regarding multilinear Calderón-Zygmund singular integral operators is system... more A variety of results regarding multilinear Calderón-Zygmund singular integral operators is systematically presented. Several tools and techniques for the study of such operators are discussed. These include new multilinear endpoint weak type estimates, multilinear interpolation, appropriate discrete decompositions, a multilinear version of Schur's test, and a multilinear version of the T 1 Theorem suitable for the study of multilinear pseudodifferential and translation invariant operators. A maximal operator associated with multilinear singular integrals is also introduced and employed to obtain weighted norm inequalities.

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Compact bilinear operators and commutators

Proceedings of the American Mathematical Society, 2013

Bilinear paraproducts revisited

Mathematische Nachrichten, 2010

Boundedness properties for bilinear paraproducts on several function spaces are presented. The me... more Boundedness properties for bilinear paraproducts on several function spaces are presented. The methods are based on the realization of paraproducts as bilinear Calderón-Zygmund operators and the molecular characterization of function spaces. This provides a unified approach for the study of paraproducts, recovering some know results and establishing several new.

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CALDERÓN–ZYGMUND OPERATORS ON MIXED LEBESGUE SPACES AND APPLICATIONS TO NULL FORMS

Journal of the London Mathematical Society, 2004

The Multilinear Strong Maximal Function

by Rodolfo Torres, Loukas Grafakos, Liguang Liu, and Carlos Pérez Moreno

Journal of Geometric Analysis, 2011

A multivariable version of the strong maximal function is introduced and a sharp distributional e... more A multivariable version of the strong maximal function is introduced and a sharp distributional estimate for this operator in the spirit of the Jessen, Marcinkiewicz, and Zygmund theorem is obtained. Conditions that characterize the boundedness of this multivariable operator on products of weighted Lebesgue spaces equipped with multiple weights are obtained. Results for other multi(sub)linear maximal functions associated with bases of open sets are studied too. Certain bilinear interpolation results between distributional estimates, such as that obtained for the multivariable strong maximal function, are also proved.

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Sobolev space estimates and symbolic calculus for bilinear pseudodifferential operators

Journal of Geometric Analysis, 2006

Bilinear operators are investigated in the context of Sobolev spaces and various techniques usefu... more Bilinear operators are investigated in the context of Sobolev spaces and various techniques useful in the study of their boundedness properties are developed. In particular, several classes of symbols for bilinear operators beyond the so called Coifman-Meyer class are considered. Some of the Sobolev space estimates obtained apply to both the bilinear Hilbert transform and its singular multipliers generalizations as well as to operators with variable dependent symbols. A symbolic calculus for the transposes of bilinear pseudodifferential operators and for the composition of linear and bilinear pseudodifferential operators is presented too.

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A Multilinear Schur Test and Multiplier Operators

by Rodolfo Torres and Loukas Grafakos

Journal of Functional Analysis, 2001

... Regular Article. A Multilinear Schur Test and Multiplier Operators *1. Loukas Grafakos a , 1 ... more

Uniqueness in the Inverse Conductivity Problem for Conductivities with 3/2 Derivatives in L p , p > 2 n

by Rodolfo Torres and Russell Brown

Journal of Fourier Analysis and Applications, 2003

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Modulation invariant bilinear T(1) theorem

Journal d'Analyse Mathématique, 2009

We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dim... more

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On the Hörmander Classes of Bilinear Pseudodifferential Operators

Integral Equations and Operator Theory, 2010

Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander cl... more Bilinear pseudodifferential operators with symbols in the bilinear analog of all the Hörmander classes are considered and the possibility of a symbolic calculus for the transposes of the operators in such classes is investigated. Precise results about which classes are closed under transposition and can be characterized in terms of asymptotic expansions are presented. This work extends the results for more limited classes studied before in the literature and, hence, allows the use of the symbolic calculus (when it exists) as an alternative way to recover the boundedness on products of Lebesgue spaces for the classes that yield operators with bilinear Calderón-Zygmund kernels. Some boundedness properties for other classes with estimates in the form of Leibniz' rule are presented as well.

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Maximal operator and weighted norm inequalities for multilinear singular integrals

by Rodolfo Torres and Loukas Grafakos

Indiana University Mathematics Journal, 2002

. The maximal operator associated with multilinear Calder&amp;amp;amp;amp;amp;#39;on-Zygmunds... more . The maximal operator associated with multilinear Calder&amp;amp;amp;amp;amp;#39;on-Zygmundsingular integrals is introduced and shown to be bounded on product of Lebesguespaces. Moreover weighted norm inequalities are obtained for this maximal operatoras well as for the corresponding singular integrals.1. IntroductionThe analysis of multilinear singular integrals has much of its origins in severalworks by Coifman and Meyer in the 70&amp;amp;amp;amp;amp;#39;s; see for example

Intelligent Thermographic Diagnostic Applied to Surge Arresters: A New Approach

by Rodolfo Torres and Walmir Caminhas

IEEE Transactions on Power Delivery, 2000

This paper describes a methodology that aims to extract information to enable the detection and d... more This paper describes a methodology that aims to extract information to enable the detection and diagnosis of faults in surge arresters, using the thermovision technique. Thermovision is a non-destructive technique used in diverse services of maintenance, having the advantage not to demand the disconnection of the equipment. The methodology uses a digital image processing algorithm based on the Watershed Transform to get the segmentation of the surge arresters. By applying the methodology is possible to classify surge arresters operative condition in: faulty, normal, light, and suspicious. The computational system generated train its neuro-fuzzy network by using a historical thermovision data. During the train phase, a heuristic is proposed in order to set the number of networks in the diagnosis system. This system was validated by a database with a hundreds of different faulty sceneries. The validation error of the set of neuro-fuzzy and the automatic digital thermovision image processing was about 10%t. The diagnosis system described has been successfully used by Electric Energy Research Center as a decision making tool for surge arresters fault diagnosis.

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Cambios geoquímicos en fluidos del campo geotérmico de Las Tres Vírgenes, BCS, durante 1997-2007: Identificación de procesos de yacimiento

Geotermia - Revista Mexicana de Geoenergia

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Mixing and dilution processes at the Las Tres Vírgenes (México) geothermal reservoir indicated by 1997-2007 geochemical data

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$Research paper thumbnail of Sharp weighted bounds for fractional integral operators$

Sharp weighted bounds for fractional integral operators

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Modulation invariant bilinear T(1) theorem

We prove a T(1) theorem for bilinear singular integral operators (trilinear forms) with a one-dim... more

Download