Revista Matemática Complutense
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Extrapolation in the scale of generalized reverse Hölder weights
Revista Matemática Complutense - Tập 31 - Trang 263-286 - 2017
We develop a theory of extrapolation for weights that satisfy a generalized reverse Hölder inequality in the scale of Orlicz spaces. This extends previous results by Auscher and Martell (Adv Math 212(1):225–276, 2007) on limited range extrapolation. We then provide several applications of our extrapolation techniques. These applications include new results and new proofs of known results for two w......
Slimgb: Gröbner bases with slim polynomials
Revista Matemática Complutense - Tập 23 - Trang 453-466 - 2009
This paper introduces a variation of Buchbergers’s algorithm for computing Gröbner bases in order to avoid intermediate coefficient swell. It is designed to keep coefficients small and polynomials short during the computation. This pays off in computation time as well as memory usage. One of the newly introduced concepts is a weighted length of a polynomial, being a combination of the number of te......
Rank 2 vector bundles over $${\mathbb {P}}^{2}(\mathbb {C})$$ whose sections vanish on points in general position
Revista Matemática Complutense - Tập 28 - Trang 623-654 - 2015
In this paper we address the classification of rank 2 vector bundles
$$E,$$
over
$${\mathbb {P}}^{2}(\mathbb {C}),$$
......
Combinatorial properties of the G-degree
Revista Matemática Complutense - Tập 32 - Trang 239-254 - 2018
A strong interaction is known to exist between edge-colored graphs (which encode PL pseudo-manifolds of arbitrary dimension) and random tensor models (as a possible approach to the study of quantum gravity). The key tool is the G-degree of the involved graphs, which drives the 1 / Nexpansion in the tensor models context. In the present paper—by making use of combinatorial properties concerning Ham......
Orthogonally additive holomorphic functions on open subsets of C(K)
Revista Matemática Complutense - Tập 25 Số 1 - Trang 31-41 - 2012
We introduce, study and characterize orthogonally additive holomorphic functions f:U→ℂ where U is an open subset of C(K). We are led to consider orthogonal additivity at different points of U.
Geometrical study of prime order automorphisms on Klein surfaces
Revista Matemática Complutense - Tập 25 - Trang 221-245 - 2011
We consider (n,q)-gonal Klein surfaces of algebraic genus p≥2 for which n≥p and n prime. We exclude the case n=2 corresponding to q-hyperelliptic surfaces, so n≥3. We study geometrical conditions on fundamental polygons of the NEC groups which uniformize these surfaces. From these conditions we give a way to construct such surfaces and obtain parameters which characterize them.
Lipschitz spaces adapted to Schrödinger operators and regularity properties
Revista Matemática Complutense - Tập 34 - Trang 357-388 - 2020
Consider the Schrödinger operator
$$\mathcal {{L}}=-\Delta +V$$
in
$$\mathbb {{R}}^n, n\ge 3,$$
where V is a nonnegative potential satisfying a reverse Hölder condition of the type
......
On strong asymptotic uniform smoothness and convexity
Revista Matemática Complutense - Tập 31 - Trang 131-152 - 2017
We introduce the notions of strong asymptotic uniform smoothness and convexity. We show that the injective tensor product of strongly asymptotically uniformly smooth spaces is asymptotically uniformly smooth. This applies in particular to uniformly smooth spaces admitting a monotone FDD, extending a result by Dilworth et al. (J Math Anal Appl 402(1):297–307, 2013). Our techniques also provide a ch......
Algebras and Banach spaces of Dirichlet series with maximal Bohr’s strip
Revista Matemática Complutense - Tập 36 - Trang 607-625 - 2022
We study linear and algebraic structures in sets of Dirichlet series with maximal Bohr’s strip. More precisely, we consider a set
$${\mathscr {M}}$$
of Dirichlet series which are uniformly continuous on the right half plane and whose strip of uniform but not absolute convergence has maximal width,......
Surgery formulae for the Seiberg–Witten invariant of plumbed 3-manifolds
Revista Matemática Complutense - Tập 33 - Trang 197-230 - 2019
Assume that $$M({{\mathcal {T}}})$$ is a rational homology sphere plumbed 3-manifold associated with a connected negative definite graph $$\mathcal {T}$$. We consider the combinatorial multivariable Poincaré series associated with $$\mathcal {T}$$ and its counting functions, which encode rich topological information. Using the ‘periodic constant’ of the series (with reduced variables associated wi......
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