On the multipliers of Hankel transform

Characterizations of Hankel Multipliers

We give characterizations of radial Fourier multipliers as acting on radial L functions, 1 < p < 2d/(d + 1), in terms of Lebesgue space norms for Fourier localized pieces of the convolution kernel. This is a special case of corresponding results for general Hankel multipliers. Besides L −L bounds we also characterize weak type inequalities and intermediate inequalities involving Lorentz spaces....

Hankel Multipliers and Transplantation Operators

Connections between Hankel transforms of different order for L-functions are examined. Well known are the results of Guy [Guy] and Schindler [Sch]. Further relations result from projection formulae for Bessel functions of different order. Consequences for Hankel multipliers are exhibited and implications for radial Fourier multipliers on Euclidean spaces of different dimensions indicated.

The Hankel transform

Multipliers of Hankel transformable generalized functions

Let Hμ be the Zemanian space of Hankel transformable functions, and let H′μ be its dual space. In this paper Hμ is shown to be nuclear, hence Schwartz, Montel and reflexive. The space O, also introduced by Zemanian, is completely characterized as the set of multipliers of Hμ and of H′μ. Certain topologies are considered on O, and continuity properties of the multiplication operation with respec...

Transference Results for Multipliers, Maximal Multipliers and Transplantation Operators Associated with Fourier-bessel Expansions and Hankel Transform

Our objective in this survey is to present some results concerning to transference of multipliers, maximal multipliers and transplantation operators between Fourier-Bessel series and Hankel integrals. Also we list some related problems that can be interesting and that have not been studied yet. From August 31st to September 3rd, 2004, was held in Merlo (San Luis, Argentine) the congress ”VII En...