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Quantitative multiple recurrence for two and three transformations
(Hebrew University Magnes Press, 2018-06)
We provide various counter examples for quantitative multiple recurrence problems for systems with more than one transformation. We show that:There exists an ergodic system (X,X, mu,T (1), T (2)) with two commuting ...
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 ...
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 ...
Seminorms for multiple averages along polynomials and applications to joint ergodicity
(Hebrew Univ. Magnes, Israel, 2021)
Exploiting the recent work of Tao and Ziegler on the concatenation theorem on factors, we find explicit characteristic factors for multiple averages along polynomials on systems with commuting transformations, and use them ...
Directional dynamical cubes for minimal Z(d)-systems
(Cambridge University Press, 2020)
We introduce the notions of directional dynamical cubes and directional regionally proximal relation defined via these cubes for a minimal Z(d)-system. X; T-1, ...,T-d). We study the structural properties of systems that ...
Potential operators and their commutators acting between variable Lebesgue spaces with different weights
(Taylor & Francis, 2018-11)
We prove that a generalized Fefferman–Phong type conditions on a pair of weights u and v is sufficient for the boundedness of the potential type operator from Lv p(.) into Lu q(.). We also obtain an analogous estimates for ...
Welland's type inequalities for fractional operators of convolution with kernels satisfying a Hörmander type condition and their commutators
(Taylor & Francis Ltd, 2018-06)
Let μ be a non-negative Ahlfors n-dimensional measure on Rd. In this context we shall consider convolution type operators Tαf = Kα ∗f, 0 <α< n, where the kernels Kα are supposed to satisfy certain size and regularity ...
Migração e pendularidade na região metropolitana de Curitiba entre 2000 e 2010: complementaridade ou substituição?
(Universidade Federal de Minas GeraisBrasilFACE - FACULDADE DE CIENCIAS ECONOMICASPrograma de Pós-Graduação em DemografiaUFMG, 2018-12-17)
The process of urbanization and metropolization, intensified by industrialization, generate transformations in the urban space that substantially affect the population distribution and its mobility. One of the consequences ...
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 ...
Pointwise cubic average for two commuting transformations
(Hebrew University Magnes Press, 2016-10)
Huang, Shao and Ye recently studied pointwise multiple averages by using suitable topological models. Using a notion of dynamical cubes introduced by the authors, the Huang-Shao-Ye technique and the Host machinery of magic ...