On Traces of Analytic $Q_p$ Type Spaces, Mixed Norm Spaces and Harmonic Bergman Classes on Certain Polydomains

Romi F. Shamoyan, Olivera R. Mihić

We introduce new $Q_p$ type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Complete descriptions of traces of harmonic Bergman classes on products of unit balls of $R^n$ and products of $R_+^{n+1}$ halfspaces will be also provided.