Publicacions matemàtiques
Publicacions Matemàtiques (ISSN: 0214-1493 print, 2014-4350 online) is a journal that publishes research quality articles about all fields of mathematics, and from time to time, also proceedings. This publication began to work in 1976 under the title Publicacions de la Secció de Matemàtiques (ISSN: 0210-2978 print, 2014-4369 online). In 1988, a new format and a new editorial board was introduced which gave rise to the second stage of the publication.
Latest additions:
2014-07-10
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Memorial for our Editorial Board Member Marc Yor / Revista Publicacions matemàtiques
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 1-1  ;
 Accés restringit a la UAB
2014-07-10
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16 p, 405.7 KB
The Riesz transform, rectifiability, and removability for Lipschitz harmonic functions / Nazarov, Fedor (Kent State University. Department of Mathematical Sciences) ; Tolsa Domènech, Xavier (Institució Catalana de Recerca i Estudis Avançats) ; Volberg, Alexander (Michigan State University. Department of Mathematics)
We show that, given a set E Rn+1 with finite n-Hausdorff measure Hn, if the n-dimensional Riesz transform is bounded in L2(HnbE), then E is n-rectifiable. From this result we deduce that a compact set E Rn+1 with Hn(E) < 1 is removable for Lipschitz harmonic functions if and only if it is purely n-unrectifiable, thus proving the analog of Vitushkin's conjecture in higher dimensions.
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 517-532  
2014-07-10
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18 p, 418.1 KB
Embeddings of local fields in simple algebras and simplicial structures / Skodlerack, Daniel (Universität Münster. Mathematisches Institut)
We give a geometric interpretation of Broussous{Grabitz embedding types. We fix a central division algebra D of finite index over a non-Archimedean local field F and a positive integer m. Further we fix a hereditary order a of Mm(D) and an unramified field extension EjF in Mm(D) which is embeddable in D and which normalizes a. [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 499-516  
2014-07-10
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14 p, 332.0 KB
Comparison principle and constrained radial symmetry for the subdiffusive p-laplacian / Greco, Antonio (Università di Cagliari. Department of Mathematics and Informatics)
A comparison principle for the subdiffusive p-Laplacian in a possibly non-smooth and unbounded open set is proved. The result requires that the involved suband supersolution are positive, and the ratio of the former to the latter is bounded. [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 485-498  
2014-07-10
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16 p, 332.2 KB
Third-power associative absolute valued algebras with a nonzero idempotent commuting with all idempotents / Cuenca Mira, José Antonio (Universidad de Málaga. Departamento de Álgebra, Geometría y Topología)
This paper deals with the determination of the absolute valued algebras with a nonzero idempotent commuting with the remaining idempotents and satisfying x2x = xx2 for every x. We prove that, in addition to the absolute valued algebras R, C, H, or O of the reals, complexes, division real quaternions or division real octonions, one such absolute valued algebra A can also be isometrically isomorphic to some of the absolute valued algebras C. [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 469-484  
2014-07-10
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24 p, 613.2 KB
Explicit minimal scherk saddle towers of arbitrary even genera in R3 / Yucra Hancco, A. J. (DM. UFSCar (Sao Carlos, Brasil)) ; Lobos, G. A. (DM. UFSCar (Sao Carlos, Brasil)) ; Ramos Batista, V. (CMCC. UFABC (Santo André, Brasil))
Starting from works by Scherk (1835) and by Enneper-Weierstrass (1863), new minimal surfaces with Scherk ends were found only in 1988 by Karcher (see [9, 10]). In the singly periodic case, Karcher's examples of positive genera had been unique until Traizet obtained new ones in 1996 (see [23]). [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 445-468  
2014-07-10
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29 p, 474.6 KB
On restricted weak-type constants of Fourier multipliers / Osekowski, Adam (University of Warsaw. Department of Mathematics, Informatics and Mechanics)
We exhibit a large class of symbols m: Rd ! C for which the corresponding Fourier multipliers Tm satisfy the following restricted weak-type estimates: if A Rd has finite Lebesgue measure, then. . . In particular, this leads to novel sharp estimates for the real and imaginary part of the Beurling-Ahlfors operator on C. [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 415-443  
2014-07-09
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14 p, 448.4 KB
On separated Carleson sequences in the unit disc / Amar, Eric (Université Bordeaux 1)
The interpolating sequences S for H∞(D), the bounded holomorphic functions in the unit disc D of the complex plane C, were characterized by L. Carleson using metric conditions on S. Alternatively, to characterize interpolating sequences we can use the existence in H∞(D) of an infinity of functions {ρa}a∈S, uniformly bounded in D, the function ρa being 1 at the point a ∈ S and 0 at any b ∈ S \ {a}. [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 401-414  
2014-07-09
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Smoothing properties of the discrete fractional maximal operator on Besov and Triebel-Lizorkin spaces / Heikkinen, Toni (Aalto University. Department of Mathematics (Aalto, Finlàndia)) ; Tuominen, Heli (University of Jyväskylä. Department of Mathematics and Statistics)
Motivated by the results of Korry, and Kinnunen and Saksman, we study the behaviour of the discrete fractional maximal operator on fractional Hajlasz spaces, Hajlasz-Besov, and Hajlasz-Triebel-Lizorkin spaces on metric measure spaces. [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 379-399  
2014-07-09
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25 p, 436.1 KB
Atomic decomposition of real-variable type for Bergman spaces in the unit ball of Cn / Chen, Zeqian (Chinese Academy of Sciences. Wuhan Institute of Physics and Mathematics (Wuhan, Xina)) ; Ouyang, Wei (Chinese Academy of Sciences. Institute of Geodesy and Geophysics (Wuhan, Xina))
In this paper we show that, for any 0 < p _ 1 and _ > 1, every (weighted) Bergman space Ap _(Bn) admits an atomic decomposition of real-variable type. More precisely, for each f 2 Ap _(Bn) there exist a sequence of (p;1)_-atoms ak with compact support and a scalar sequence f_kg such that f = P k _kak in the sense of distribution and Pk j_kjp . [...]
2014
Publicacions matemàtiques, Vol. 58, Núm. 2 (2014) , p. 353-377