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A boundedness criterion for general maximal operators
(Univ Autonoma Barcelona, 2010-01)
We consider maximal operators MBMB with respect to a basis BB. In the case when MBMB satisfies a reversed weak type inequality, we obtain a boundedness criterion for MBMB on an arbitrary quasi-Banach function space XX. ...
Maximal operators associated with Generalized Hermite polynomials and function expansions
(Union Matematica Argentina, 2013-06)
We study the weak and strong type boundedness of maximal heat?diffusion operators associated with the system of generalized Hermite polynomials and with two different systems of generalized Hermite functions. We also give ...
Weak type (1,1) estimates for Caffarelli-Calderón generalized maximal operators for semigroups associated with Bessel and Laguerre operators
(American Mathematical Society, 2014-01)
In this paper we prove that the generalized (in the sense of Caffarelli and Calderón) maximal operators associated with heat semigroups for Bessel and Laguerre operators are weak type $ (1,1)$. Our results include other ...
Characterizations of reverse weighted inequalities for maximal operators in Orlicz spaces and Stein's result
(Springer, 2015-12)
We give a characterization of reverse type inequalities on weighted Orlicz spaces of the generalized maximal operator MηMη , associated to a Young function ηη , in terms of an appropriated Dini type condition. Our ...
Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur'e dynamical systems
(Academic Press-Elsevier, 2017)
We study a precomposition of a maximal monotone operator with linear mappings, which preserves the maximal monotonicity in the setting of reflexive Banach spaces. Instead of using the adjoint of such linear operators, as ...
Weighted inequalities and pointwise estimates for the multilinear fractional integral and maximal operators
(Academic Press Inc Elsevier Science, 2010-07)
In this article we prove weighted norm inequalities and pointwise estimates between the multilinear fractional integral operator and the multilinear fractional maximal. As a consequence of these estimations we obtain ...
Generalized maximal functions and related operators on weighted Musielak-Orlicz spaces
(Suomalainen Tiedeakatemia, 2014-02)
We characterize the class of weights related to the boundedness of maximal operators associated to a Young function η in the context of variable Lebesgue spaces. Fractional versions of these results are also obtained by ...
Invariant sets and Lyapunov pairs for differential inclusions with maximal monotone operators
(Academic Press Inc., 2018)
We give different conditions for the invariance of closed sets with respect to differential inclusions governed by a maximal monotone operator defined on Hilbert spaces, which is subject to a Lipschitz continuous perturbation ...
Characterizations of the boundedness of generalized fractional maximal functions and related operators in Orlicz spaces
(Wiley VCH Verlag, 2017-01)
Given 0 <α< n and a Young function η, we consider the generalized fractional maximal operator Mα,η defined by Mα,η f (x) = sup Bx |B| α/n || f ||η,B, where the supremum is taken over every ball B contained in Rn . In this ...