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Weighted inequalities of Fefferman-Stein type for Riesz-Schrödinger transforms
(Element, 2020-03)
In this work we are concerned with Fefferman-Stein type inequalities. More precisely, given an operator T and some p, 1 < p < ∞, we look for operators M such that the inequality |+ |T f |pw < C | | f |pM w, holds true for ...
λ-Aluthge transforms and schatten ideals
(Elsevier Science Inc, 2005-08)
Let T∈ L(H), and let T=U|T|= |T*| U be the polar decomposition of T . Then, for every λ∈[0,1], the λ-Aluthge transform is defined by D λ (T )= |T| l U|T| 1-λ . We show that several properties which are known for the usual ...
Lp-dimension free boundedness for Riesz transforms associated to Hermite functions
(Springer, 2004-04)
Riesz transforms associated to Hermite functions were introduced by S. Thangavelu, who proved that they are bounded operators on L^p(R^d ), 1 < p < ∞ . In this paper we give a different proof that allows us to show that ...
On Riesz transforms and maximal functions in the context of Gaussian harmonic analysis
(American Mathematical Society, 2007-12)
The purpose of this paper is twofold. We introduce a general maximal function on the Gaussian setting which dominates the Ornstein-Uhlenbeck maximal operator and prove its weak type by using a covering lemma which is ...
Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
(Polish Academy of Sciences. Institute of Mathematics, 2010-11)
We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in ...
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 ...
Extrapolation for classes of weights related to a family of operators and applications
(Springer, 2013-05)
In this work we give extrapolation results on weighted Lebesgue spaces for weights associated to a family of operators. The starting point for the extrapolation can be the knowledge of boundedness on a particular Lebesgue ...
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 ...
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, ...
An operator based approach to irregular frames of translates
(Multidisciplinary Digital Publishing Institute, 2019-05-20)
We consider translates of functions in L 2 (Rd ) along an irregular set of points, that is, {φ(· − λk )}k∈Z—where φ is a bandlimited function. Introducing a notion of pseudo-Gramian function for the irregular case, we ...