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Weighted norm inequalities for heat-diffusion Laguerre's semigroups
(Springer, 2007-10)
We consider three systems of Laguerre functions and their corresponding heat diffusion semigroups. For the associate maximal operators, we give necessary and sufficient conditions in order to obtain strong type, weak type ...
Local maximal functions and operators associated to Laguerre expansions
(Tohoku University, 2014-07)
In this paper we get sharp conditions on a weight v which allow us to obtain some weighted inequalities for a local Hardy-Littlewood Maximal operator defined on an open set in the Euclidean n-space. This result is applied ...
Twisted Semigroup Algebras
(Springer, 2015-08)
We study 2-cocycle twists, or equivalently Zhang twists, of semigroup algebras over a field k. If the underlying semigroup is affine, that is abelian, cancellative and finitely generated, then Spec k[S] is an affine toric ...
A.E Convergence and 2-Weight Inequalities for Poisson-Laguerre Semigrops
(Springer Heidelberg, 2017-10)
We find optimal decay estimates for the Poisson kernels associated with various Laguerre-type operators L. From these, we solve two problems about the Poisson semigroup e-tL. First, we find the largest space of initial ...
Maximal operators, Riesz transforms and Littlewood–Paley functions associated with Bessel operators on BMO
(Academic Press Inc Elsevier Science, 2010-03)
In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transforms and Littlewood–Paley g-functions) associated with Bessel operators, ...
Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO
(Elsevier Science, 2010-03)
In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transforms and Littlewood– Paley g-functions) associated with Bessel operators, ...
On coupled transversal and axial motions of two beams with a joint
(Academic Press Inc Elsevier Science, 2008-03)
In this paper we develop and analyze a mathematical model for combined axial and transverse motions of two Euler-Bernoulli beams coupled through a joint composed of two rigid bodies. The motivation for this problem comes ...
Fréchet differentiability of the solutions of a semilinear abstract Cauchy problem
(Academic Press Inc Elsevier Science, 2005-07)
Sufficient conditions are found under which the solutions z(t; q) of a semilinear abstract Cauchy problem of the form d/dt z(t) = A(q)z(t) + F(q, t, z(t)) are Fréchet differentiable with respect to the parameter q. An ...
Oscillation and variation for the Gaussian Riesz transforms and Poisson integral
(Royal Society of Edinburgh, 2007-07)
For the family of truncations of the Gaussian Riesz transforms and Poisson integral we study their rate of convergence through the oscillation and variation operators. More precisely, we search for their Lp (dγ)-boundedness ...
On the maximal function for the generalized Ornstein-Uhlenbeck semigroup
(Natl Inquiry Services Centre Pty Ltd, 2007-12)
In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials (Hμn) and prove that it is weak type (1,1) with respect to dλμ(x) = ...