The purpose of this work is to study the Hardy spaces Hp(Rn) on euclidean spaces and your localized version, known as hp(Rn). As an application of this theory, we are going to show that Calderón-Zygmund and pseudo-differential ...

The aim of this Masters dissertation is to show a classication of parallel and semi-parallel hypersurfaces of Sn _ R, based on the work of Joeri Van der Veken and Luc Vrancken, in [12]. The classification that we will ...

The subject treated in this dissertation is functional identities (FI) of a especific ring. We present concepts, examples and some results involving the themes: standard solution of a FI, strong degree of a ring, strongly ...

In this thesis we study the asymptotic properties for the solution of the Cauchy problem for the Klein-Gordon equation with non-effective time-dependent potential. The main goal was define a suitable energy related to ...

We study fractal subordinacy theory for one-dimensional Schrödinger operators. First, we review results on Hausdorff subordinacy for discrete one-dimensional Schrödinger operators in order to analyze the differences and ...

The aim of this work is to present results about the existence of non-trivial solutions for some classes of resonant and superlinear eliptic systems employing topological methods. More specifcally, we use a-priori bounds ...

In this work we study the existence of weak solutions for four nonlinear elliptic problems of Kirchhoff type. These problems have in common the presence of a function M : R+ [ f0g ! R+; known as Kirchhoff-type function. ...

In this work we obtain a reduction of the vectorial Ribaucour transformation that preserves the class of submanifolds with constant sectional curvature of space forms. As a consequence, a process is derived to generate ...

In this work, we will use topological methods in combinatorics and geometry to present a proof of the topological Tverberg theorem and a result about many Tverberg partitions.

In this thesis we classify the isometric immersions f : Mm ^ Sm+p x R with m > 3 P < m — ^d c < 1, where Mm denotes a Riemannian manifold with constant sectional curvature equal to c. We obtain partial results on the ...