Bootstrapping Weighted Inequalities for Hankel Transform

Bootstrapping Weighted Fourier Inequalities

is finite. The purpose of this paper is to provide a framework for proving inequalities of the form (1). The idea is to exploit the close relationship of the Fourier transform to the operation of convolution and then to apply techniques from the theory of positive integral operators. Although the convolution operators that arise are not necessarily positive, they are trivially majorized by posi...

The Hankel transform

Extremal Vector Valued Inequalities for Hankel Transforms

The disc multiplier may be seen as a vector valued operator when we consider its projections in terms of the spherical harmonics. In this form, it represents a vector valued Hankel transform. We know that, for radial functions, it is bounded on the spaces Lplq (r n−1 dr) when 2n n+1 < p, q < 2n n−1 . Here we prove that there exist weak-type estimates for this operator for the extremal exponents...

Matlab code for the Discrete Hankel Transform

Hankel Matrices for Weighted Visibly Pushdown Automata