A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2007; you can also visit the original URL.
The file type is application/pdf
.
Lp-multipliers of mixed-norm type on locally compact Vilenkin groups
1998
Journal of the Australian Mathematical Society
Let G be a locally compact Vilenkin group with dual group 0. We prove Littlewood-Paley type inequalities corresponding to arbitrary coset decompositions of 0. These inequalities are then applied to obtain new L p .G/ multiplier theorems. The sharpness of some of these results is also discussed. 1991 Mathematics subject classification (Amer. Math. Soc.): primary 43A70, 43A22.
doi:10.1017/s1446788700035941
fatcat:sxnkgqukcjhlfjpvx7lgy3trwm