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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 ...
Riesz transforms on variable Lebesgue spaces with Gaussian measure
(Taylor & Francis Ltd, 2017-03)
We give sufficient conditions on variable exponent functions p : Rn → [1,∞) for which the higher-order Riesz transforms, associated with the Ornstein–Uhlenbeck semigroup, are bounded on Lp(·) (Rn, dγ ), where γ denotes the ...
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.
Riesz transforms related to Schrödinger operators acting on BMO type spaces
(Academic Press Inc Elsevier Science, 2009-09)
In this work we obtain boundedness on suitable weighted BMO type spaces of Riesz transforms, and their adjoints, associated to the Schrödinger operator - Δ + V, where V satisfies a reverse Hölder inequality. Our results ...
Bellman functions and dimension free L p -estimates for the Riesz transforms in Bessel settings
(Pergamon-Elsevier Science Ltd, 2020-08)
In this article we prove dimension free $L^p$?boundedness of Riesz transforms associated with a Bessel differential operator. We obtain explicit estimates of the $L^p$?norms for the Bessel?Riesz transforms in terms of $p$, ...
Weighted inequalities for commutators of Schrödinger-Riesz transforms
(Academic Press Inc Elsevier Science, 2012-08)
In this work we obtain weighted and weak estimates for the commutator of the Riesz transforms associated to a Schrödinger operator , where V satisfies some reverse-Hölder inequality. The classes of weights as well as the ...
Fractional Integrals And RIESZ Transform acting on certain LIPSCHITZ Spaces
(Michigan Mathematical Journal, 2016-02)
We make a unifying approach to the study of mapping properties of fractional integrals and Riesz transforms acting on spaces of functions f verifying sup B (1 w(a, r) 1 |B| ˆ B |f − mBf| q 1/q )< ∞ , where w is a non ...
Commutators of Riesz Transforms Related to Schrödinger Operators
(Springer, 2011-02)
In this work we obtain boundedness on L p , for 1<p<∞, of commutators T b f=bTf−T(bf) where T is any of the Riesz transforms or their conjugates associated to the Schrödinger operator −Δ+V with V satisfying an appropriate ...
Power weighted L p -inequalities for Laguerre-Riesz transforms
(Springer, 2008-10)
In this paper we give a complete description of the power weighted inequalities, of strong, weak and restricted weak type for the pair of Riesz transforms associated with the Laguerre function system {Lk α}, for any given ...