Hankel transform on Lorentz spaces

The Fourier Transform in Weighted Lorentz Spaces

Abstract Necessary conditions and sufficient conditions on weights u and w are given for the Fourier transform F to be bounded as a map between the Lorentz spaces Γq(w) and Λp(u). This may be viewed as a weighted extension of a result of Jodeit and Torchinsky on operators of type (1,∞) and (2, 2). In the case 0 < p ≤ 2 = q, the necessary and sufficient conditions are equivalent and give a simpl...

The Hankel transform

On a generalized finite Hankel transform

In the present work we introduce a finite integral transform involving combination of Bessel functions as kernel under prescribed conditions. The corresponding inversion formula and some properties of this transform have also been given. Three problems of heat conduction in an infinite, a semi-infinite and a finite circular cylinder bounded by given surfaces with radiation-type boundary value c...

On Homogeneous Hermite-lorentz Spaces

We define naturally Hermite-Lorentz metrics on almost-complex manifolds as special case of pseudo-Riemannian metrics compatible with the almost complex structure. We study their isometry groups.

A Generalized Hankel Convolution on Zemanian Spaces

We define a new generalized Hankel convolution on the Zemanian distribution spaces of slow growth.