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Uma estimativa do tipo L1 para potencial de Riesz
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2019-08-13)
In this work we will present a L1-type estimates for the Riesz potentials envolving the Riesz transform. This estimate is an improvement of result due to Stein and Weiss the result of Stein and Weiss that provides Riesz ...
Variation operators for semigroups and Riesz transforms on BMO in the Schrödinger setting
(Springer, 2013-04)
In this paper we prove that the variation operators of the heat semigroup and the truncations of Riesz transforms associated to the Schrödinger operator are bounded on a suitable BMO type space.
Variation Operators for Semigroups and Riesz Transforms on BMO in the Schrödinger Setting
(Springer, 2012-06)
In this paper we prove that the variation operators of the heat semigroup and the truncations of Riesz transforms associated to the Schrödinger operator are bounded on a suitable BMO type space.
On Bessel-Riesz operators
(Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura, 2007)
This article deals with certain kind of potential operator defined as convolution
with the generalized function Wα (P ± i0,m,n)depending on a complex parameter α and
a real non negative one m.
The definitory formulae ...
The Riesz potential as a multilinear operator into general BMOβ spaces
(Springer Science, 2011-03)
Given α > 0 and a space of homogeneous type X, n-normal, with n ℝ+, we consider an extension of the standard multilinear fractional integral on Lp1 × ... × Lpk for the range of 1/pi = 1/p1...+1/pk -α/n ≤ 0. We show that ...
Operadores de Schrödinger: propiedades de tamaño y suavidad
(2019-03-15)
Este trabajo tiene por objeto el estudio de las Transformadas de Riesz asociadas al operador de Schrödinger en el espacio euclídeo d dimensional, para potenciales no negativos, no idénticamente nulos y cumpliendo una ...
Weighted convolution inequalities for radial functions
(Springer Heidelberg, 2015-02)
We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications of these results to inequalities for Riesz ...
Estrutura eletrônica de cristais: generalização mediante o cálculo fracionário
(Universidade Estadual Paulista (Unesp), 2018-04-17)
Tópicos fundamentais da estrutura eletrônica de materiais cristalinos, são investigados de forma generalizada mediante o Cálculo Fracionário. São calculadas as bandas de energia, as funções de Bloch e as funções de Wannier, ...
Fractional Schrödinger Equation With Riesz-feller Derivative For Delta Potentials
(American Institute of Physics Inc., 2016)