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Generalized Bessel potentials on Lipschitz type spaces
(Wiley VCH Verlag, 2005-12)
We introduce generalizations of Bessel potentials by considering operators of the form ℓ [(I - Δ) -1/2] where the functions ℓ extend the classical power case. The kernel of such an operator is subordinate to a growth ...
Bessel Potentials in Ahlfors Regular Metric Spaces
(Springer, 2016-08)
In this paper we introduce Bessel potentials and the Sobolev potential spaces resulting from them in the context of Ahlfors regular metric spaces. The Bessel kernel is defined using a Coifman type approximation of the ...
Reexamination of Bessel beams: A generalized scheme to derive optical vortices
(American Physical Society, 2019-02)
The electromagnetic field of optical vortices is in most cases derived from vector and scalar potentials using either a procedure based on the Lorenz or the Coulomb gauge. The former procedure has been typically used to ...
Zeros of combinations of Bessel functions and the mean charge of graphene nanodots
(Springer, 2016-04)
We establish some properties of the zeros of sums and differences of contiguous Bessel functions of the first kind. As a by-product, we also prove that the zeros of the derivatives of Bessel functions of the first kind of ...
On Bessel-Riesz operators
(Universidad Nacional del Nordeste. Facultad de Ciencias Exactas y Naturales y Agrimensura, 2007)
This article deals with certain kind of potential operator defined as convolution
with the generalized function Wα (P ± i0,m,n)depending on a complex parameter α and
a real non negative one m.
The definitory formulae ...
Integral Representation of Electrostatic Interactions inside a Lipid Membrane
(2020-09-01)
Interactions between charges and dipoles inside a lipid membrane are partially screened. The screening arises both from the polarization of water and from the structure of the electric double layer formed by the salt ions ...
Debye-hückel free energy of an electric double layer with discrete charges located at a dielectric interface
(2021-02-01)
Poisson-Boltzmann theory provides an established framework to calculate properties and free energies of an electric double layer, especially for simple geometries and interfaces that carry continuous charge densities. At ...
Espacios Lipschitz generalizados y operadores invariantes por traslaciones
(1997-02-27)
We extend to context of the Generalized Lipschitz spaces and to context of the Orlicz spaces, the result of Stein and Zygmund about the Lp boundedness of translation invariant operators between Lipschitz spaces. They ...