48 research outputs found
Hankel Multipliers And Transplantation Operators
Connections between Hankel transforms of different order for -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
On a restriction problem of de Leeuw type for Laguerre multipliers
In 1965 K. de Leeuw \cite{deleeuw} proved among other things in the Fourier
transform setting: {\it If a continuous function on
generates a bounded transformation on then its trace generates a bounded transformation on . } In this paper, the analogous problem is discussed in the setting of
Laguerre expansions of different orders
Ultraspherical multipliers revisited
Sufficient ultraspherical multiplier criteria are refined in such a way that
they are comparable with necessary multiplier conditions. Also new necessary
conditions for Jacobi multipliers are deduced which, in particular, imply known
Cohen type inequalities. Muckenhoupt's transplantation theorem is used in an
essential way