Jorge J. Betancor

Riesz transforms related to Bessel operators

Riesz transforms

Hankel convolution operators on entire functions and distributions

R_\mu

On Hankel conjugate functions

related to the Bessel operators

On the topology of Hankel multipliers and of Hankel convolution operators

\Delta_\mu=x^{-\mu-1/2}Dx^{2\mu+1}Dx^{-\mu-1/2}

Beurling ultradistributions of Lp-growth

are studied in this work. We develop for

Lipschitz-Hankel spaces and partial Hankel integrals

R_\mu

A COMMUTATOR THEOREM FOR FRACTIONAL INTEGRALS IN SPACES OF HOMOGENEOUS TYPE

a theory that runs parallel to that for the Euclidean Hilbert transform. It is proved that

The hankel transform of integrable boehmians

R_\mu