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Dynamics of non-convolution operators and holomorphy types
(Academic Press Inc Elsevier Science, 2018-12)
In this article we study the hypercyclic behavior of non-convolution operators defined on spaces of analytic functions of different holomorphy types over Banach spaces. The operators in the family we analyze are a composition ...
Strongly Mixing Convolution Operators on Fréchet Spaces of Holomorphic Functions
(Birkhauser Verlag Ag, 2014-11)
A theorem of Godefroy and Shapiro states that non-trivial convolution operators on the space of entire functions on (Formula Presented.) are hypercyclic. Moreover, it was shown by Bonilla and Grosse-Erdmann that they have ...
Hypercyclic convolution operators on Fréchet spaces of analytic functions
(Academic Press Inc Elsevier Science, 2007-12)
A result of Godefroy and Shapiro states that the convolution operators on the space of entire functions on Cn, which are not multiples of identity, are hypercyclic. Analogues of this result have appeared for some spaces ...
Two weighted inequalities for convolution maximal operators
(Universitat Autònoma de Barcelona, 2002-12)
Let ψ: ℝ → [0, ∞) an integrable function such that ψχ(-∞,0) = 0 and ψ is decreasing in (0, ∞). Let τhf(x) = f(x - h), with h ∈ ℝ \ {0} and f R(x) = 1/Rf(x/R), with R > 0. In this paper we characterize the pair of weights ...
Boundedness of convolution operators with smooth kernels on Orlicz spaces
(Polish Academy of Sciences. Institute of Mathematics, 2002-12)
We study boundedness in Orlicz norms of convolution operators with integrable kernels satisfying a generalized Lipschitz condition with respect to normal quasidistances of ℝn and continuity moduli given by growth functions.
Restricted weak type inequalities for convolution maximal operators in weighted Lp spaces
(Oxford University Press, 2003-06)
Let φ: ℝ → [0, ∞) be an integrable function such that φ(-∞,0) = 0 and φ is decreasing in (0, ∞). Let τh f (x) = f (x - h), with h ∈ ℝ/{0} and φ R(x) = (1/R)φ(x/R), with R > 0. In this paper we study the pair of weights (u, ...
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 ...
Automatic quantification of the LV function and mass: A deep learning approach for cardiovascular MRI
(Elsevier, 2019-02)
Objective: This paper proposes a novel approach for automatic left ventricle (LV) quantification using convolutional neural networks (CNN). Methods: The general framework consists of one CNN for detecting the LV, and another ...
Weak type (1,1) of maximal operators on metric measure spaces
(Unión Matemática Argentina, 2009-12)
A discretization method for the study of the weak type (1,1) for the maximal of a sequence of convolution operators on R^n has been introduced by Miguel de Guzmán and Teresa Carrillo, by replacing the integrable functions ...
Weighted inequalities for fractional integral operators with kernel satisfying Hörmander type conditions
(Element, 2011-10)
In this paper we study inequalities with weights for fractional operators Tαgiven by convolution with a kernel Kαwhich is supposed to satisfy some size condition and a fractional Hörmander type condition. As it is done for ...