Multipliers of Hankel-K{Mp} spaces

The family of Hankel-K{M-p} spaces was introduced by the author as a Hankel transformation related version of the I.M. Gelfand-G.E. Shilov K{M-p} spaces. In fact, many spaces of test functions arising in connection with the generalized Hankel transformation turn out to be Hankel-K{M-p} spaces. In this paper, under opportune assumptions on the defining sequence {M-p}(p=0)(infinity), the space of multipliers of a Hankel-K{M-p} space is characterized in various ways and its topological structure is investigated, thus covering the analysis of the space of multipliers for a wide range of test spaces dealt with in the literature.