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The Aumann functional equation for general weighting procedures
(Springer, 2015-08)
The functional equation of composite type
M(M(x; M(x; y)); M(M(x; y); y)) = M(x; y)
arose in the course of the studies on the problem of extension and restriction of the number of arguments of a mean M performed by G. ...
Family of Multiple-Root Finding Iterative Methods Based on Weight Functions
A straightforward family of one-point multiple-root iterative methods is introduced. The family is generated using the technique of weight functions. The order of convergence of the family is determined in its convergence ...
Multiple positive solutions for semilinear Dirichlet problems with sign-changing weight function in infinite strip domains
(Nonlinear Analysis: Theory, Methods & Applications, 2018)
Weighted convolution inequalities for radial functions
(Springer Heidelberg, 2015-02)
We obtain convolution inequalities in Lebesgue and Lorentz spaces with power weights when the functions involved are assumed to be radially symmetric. We also present applications of these results to inequalities for Riesz ...
Characterizations of BMO f ( w )
(Akadémiai Kiadó, 2004-12)
Abstract. In this paper we give two characterizations of func-tions with weighted mean oscillation over cubes controlled by anon-negative function ´, that is functions in BMO´(w). The ¯rstone, by conditions on their ...
Sharp $$A_{1}$$A1 Weighted Estimates for Vector-Valued Operators
(Springer, 2020-03-06)
Given 1 ≤ q < p < ∞, quantitative weighted L p estimates, in terms of Aq weights, for vector-valued maximal functions, Calderón–Zygmund operators, commutators, and maximal rough singular integrals are obtained. The results ...
A sharp weighted transplantation theorem for Laguerre function expansions
(Academic Press Inc Elsevier Science, 2007-03)
We find the sharp range of boundedness for transplantation operators associated with Laguerre function expansions in Lp spaces with power weights. Namely, the operators interchanging {Lkα} and {Lkβ} are bounded in Lp (yδ ...
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 ...
Weighted norm inequalities for heat-diffusion Laguerre's semigroups
(Springer, 2007-10)
We consider three systems of Laguerre functions and their corresponding heat diffusion semigroups. For the associate maximal operators, we give necessary and sufficient conditions in order to obtain strong type, weak type ...
Weighted a priori estimates with powers of the distance function for elliptic equations
(Heldermann Verlag, 2015-09)
Let u be a weak solution of the equation (-Δ)mu = f with Dirichlet boundary conditions in a smooth bounded domain Ω ⊂ ℝn. In this paper, we obtain some estimates for the Green's function associated to this problem. Moreover, ...