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Orlicz boundedness for certain classical operators
(Institute of Mathematics - Polish Academy of Sciencies, 2002-06)
Let ɸ and ψ be functions defined on [0,∞) taking the value zero at zero and with non-negative continuous derivative. Under very mild extra assumptions we find necessary and sufficient conditions for the fractional maximal ...
On the optimal numerical parameters related with two weighted estimates for commutators of classical operators and extrapolation results
(Springer, 2020-05)
We give two-weighted norm estimates for higher order commutator of classical operators such as singular integral and fractional type operators, between weighted L^p and certain spaces that include Lipschitz, BMO and Morrey ...
Weighted inequalities for commutators of fractional integrals on spaces of homogeneous type
(Academic Press Inc Elsevier Science, 2006-10)
Let 0 < γ < 1, b be a BMO function and Iγ, b m the commutator of order m for the fractional integral. We prove two type of weighted Lp inequalities for Iγ, b m in the context of the spaces of homogeneous type. The first ...
Convergence of p-stable random fractional wavelet series and some of Its properties
(Institute of Electrical and Electronics Engineers, 2020-09)
For appropriate orthonormal wavelet basis {ψ^e_jk} j∈Zk∈Z^de∈{0,1}^d, constants p and γ , if I_γ denotes the Riesz fractional integral operator of order γ and (ηjke)j∈Zk∈Z^de∈{0,1}^d a sequence of independent identically ...
Sunflower Lecithin: Application of a Fractionation Process with Absolute Ethanol
(Springer, 2009-02)
Native or modified lecithins are widely used as a multifunctional ingredient in the food industry. A fractionation process of sunflower lecithin (a non GMO product) with absolute ethanol was used for obtaining enriched ...
Integral operators with rough kernels in variable Lebesgue spaces
(Springer, 2020-05-19)
We study integral operators with kernels K(x, y) = k1(x- A1y) ⋯ km(x- Amy) , ki(x)=Ωi(x)|x|n/qi where Ω i: Rn→ R are homogeneous functions of degree zero,satisfying a size and a Dini condition, Ai are certain invertible ...
On certain fractional integral operators of two variables and integral transforms
(Pontificia Universidad Católica del PerúPE, 2017)
A study on two variable analogues of certain fractional integral operators
(Pontificia Universidad Católica del PerúPE, 2017)
Infinitely many solutions for non-local problems with broken symmetry
(De Gruyter, 2018-08)
The aim of this paper is to investigate the existence of solutions of the non-local elliptic problem (Formula Presented) where s Ó (0, 1), n > 2s, is an open bounded domain of Rn with Lipschitz boundary ∂Ω, (-Δ)s is the ...