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Multipliers in spaces of harmonic functions and embeding theorems
Last modified: 2014-04-10
Abstract
We give characterizations of spaces of multipliers acting between harmonic
functions spaces on the unit ball.
The spaces involved are mixed norm spaces, including Tiebel - Lizorkin spaces, Hardy and Besov spaces. The results presented in many cases generalize known results in the case of analytic function spaces on the unit disc.
All of these results are obtained in collaboration with Romi F. Shamoyan.