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Estudio del núcleo de Riesz asociado al símbolo 〈x〉=máx{|x|_p,p^γ }
(2018-02-02)
Esta tesis está dedicada al estudio de la transformada de Fourier k_α del símbolo 〈x〉=máx{|x|_p,p^γ }. Se muestra que la familia de núcleos, k_α, forman un semigrupo de convolución con el fin de encontrar soluciones ...
Lp-boundedness properties of variation operators in the Schrödinger setting
(Springer, 2013-07)
In this paper we establish the Lp-boundedness properties of the variation operators associated with the heat semigroup, Riesz transforms and commutator between Riesz transforms and multiplication by BMO(ℝn)-functions in ...
Similarity Solution To Fractional Nonlinear Space-time Diffusion-wave Equation
(AMER INST PHYSICSMELVILLE, 2015)
Weighted Inequalities for Schrödinger Type Singular Integrals
(Birkhauser Boston Inc, 2019-06-10)
Related to the Schrödinger operator L= - Δ + V, the behaviour on Lp of several first and second order Riesz transforms was studied by Shen (Ann Inst Fourier (Grenoble) 45(2):513–546, 1995). Under his assumptions on V, a ...
Comparison of phase recovery methods in spiral speckle pattern interferometry correlation fringes
(Elsevier, 2016-05)
Spiral interferometry can be used as a solution to the problem of sign ambiguity presented in the conventional speckle pattern interferometric technique when the optical phase needs to be reconstructed from a single closed ...
Operadores en espacios de Lebesgue generalizados
(2013-06-07)
Variable exponent spaces have been the subject of quite a lot of interest recently. Much of this interest is focused on the study of operators connected with the regularity properties of solutions of problems associated ...
Vortex metrology using Fourier analysis techniques: vortex networks correlation fringes.
(OPTICAL SOC AMER, 2012-10-20)
In this work, we introduce an alternative method of analysis in vortex metrology based on the application of the Fourier optics techniques. The first part of the procedure is conducted as is usual in vortex metrology for ...
A sharp weighted transplantation theorem for Laguerre function expansions
(Academic Press Inc Elsevier Science, 2007-03)
We find the sharp range of boundedness for transplantation operators associated with Laguerre function expansions in Lp spaces with power weights. Namely, the operators interchanging {Lkα} and {Lkβ} are bounded in Lp (yδ ...
Weak type inequality for a family of singular integral operators related with the Gaussian measure
(Springer, 2009-05)
In this paper we study a family of singular integral operators that generalizes the higher order Gaussian Riesz Transforms and find the right weight w to make them continuous from L1(wdγ) into L1,∞(dγ), being dγ(x) = e-x2dx. ...
Endpoint Estimates of Commutators of Singular Integrals vs. Conditions on the Symbol
(Birkhauser Boston Inc, 2020-01)
Endpoint estimates of commutators Tb of singular integrals T, are studied over general spaces that include, in particular, BMO and Lipschitz spaces. We also characterize the conditions of the symbol b in order to obtain ...