Sz. Lu et Bl. Ma, MULTIPLIERS OF MARCINKIEWICZ TYPE FOR SPHERICAL HARMONIC EXPANSIONS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 39(10), 1996, pp. 1042-1053
A sufficient condition for multipliers on the unit sphere to be bounde
d in L(P)(Sigma(r)) is given. The condition is analogous to those of M
arcinkiewicz criterions, which is an extension of A. Bonami and J. L.
Clerc's.