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Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators
(Oxford University Press, 2011-10)
We study tensor norms that destroy unconditionality in the following sense: for every Banach space E with unconditional basis, the n-fold tensor product of E (with the corresponding tensor norm) does not have unconditional ...
Summation of coefficients of polynomials on lp-spaces
(Univeristat Autònoma de Barcelona, 2016-07)
We investigate the summability of the coefficients of $m$-homogeneous polynomials and $m$-linear mappings defined on $\ell_{p}$-spaces. In our research we obtain resultson the summability of the coefficients of $m$-linear ...
The sup‐norm vs. the norm of the coefficients: equivalence constants for homogeneous polynomials
(Wiley VCH Verlag, 2020-12-11)
Let Amp,r(n) be the best constant that fulfills the following inequality: for every m-homogeneous polynomial P(z)=∑|α|=maαzα in n complex variables, (∑|α|=m|aα|r)1/r≤Amp,r(n)supz∈Bℓnp∣∣P(z)∣∣. For every degree m, and a ...
Estudo de polinômios quase homogêneos via Formas de Seifert
(Universidade Estadual Paulista (Unesp), 2019-02-27)
Dado um polinômio quase homogêneo com singularidade isolada na origem existe associado um polinômio que depende apenas de seus pesos. Motivados por um resultado que garante que dados dois polinômios quase homogêneos com ...
Ideais algebricos de aplicações multilineares e polinômios homogêneosAlgebraic ideals of multilinear mappings and homogeneous polynomials
(Universidade Federal de UberlândiaBRPrograma de Pós-graduação em MatemáticaCiências Exatas e da TerraUFU, 2016)
On the Milnor fibre and L numbers of semi-weighted homogeneous arrangements
(Springer, 2012-12-01)
Inthispaperwestudygermsofpolynomialsformedbytheproductofsemi-weighted homogeneous polynomials of the same type, which we call semi-weighted homogeneous arrangements. It is shown how the L numbers of such polynomials are ...
On Bézout inequalities for non-homogeneous polynomial ideals
(Academic Press Ltd - Elsevier Science Ltd, 2021-09)
We introduce a “workable” notion of degree for non-homogeneous polynomial ideals and formulate and prove ideal theoretic Bézout inequalities for the sum of two ideals in terms of this notion of degree and the degree of generators.
Polynomials and holomorphic functions on A-compact sets in Banach spaces
(Academic Press Inc Elsevier Science, 2018-07)
In this paper we study the behavior of holomorphic mappings on A-compact sets. Motivated by the recent work of Aron, Çalişkan, García and Maestre (2016), we give several conditions (on the holomorphic mappings and on the ...
Stieltjes functions and discrete classical orthogonal polynomials
(Springer, 2013-10-01)
Classical orthogonal polynomials can be characterized in terms of the corresponding Stieltjes function. We consider the construction of a Stieltjes function in terms of the falling factorials for discrete classical orthogonal ...
Linear type global centers of linear systems with cubic homogeneous nonlinearities
(Rendiconti del Circolo Matematico di Palermo Series 2, 2021)