Two-parameter Vilenkin multipliers and a square function |
| |
Authors: | Péter Simon |
| |
Institution: | (1) Department of Mathematics, Bessenyei College, Nyíregyháza, P.O.Box 166, H-4400, Hungary E-mail;(2) Department of Mathematics, Bessenyei College, Nyíregyháza, P.O.Box 166, H-4400, Hungary E-mail |
| |
Abstract: | Two-parameter Vilenkin systems will be investigated. First we give a general sufficient condition for multipliers to be bounded between two-dimensional Hardy spaces H
q(0<q1). By means of interpolation and duality argument, this theorem can be extended to other spaces. As a consequence, we can prove the (H
q
, L
q)-boundedness of the Sunouchi operator U with respect to two-parameter Vilenkin systems for all 0 <q 1. Moreover, the equivalence f{Hq} ~ Ufq (f Hq)follows for 1/2<q 1. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|