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Continuous inclusions and Bergman type operators in \(n\)-harmonic mixed norm spaces on the polydisc. (English) Zbl 1054.32019
We quote the author’s abstract: We study anisotropic mixed norm spaces of \(n\)-harmonic functions in the unit polydisc of \(\mathbb{C}^{n}\). Bergman type reproducing integral formulas are established by means of fractional derivatives and some continuous inclusions. It gives us a tool to construct corresponding projections and related operators and prove their boundedness on the mixed norm and Besov spaces.

MSC:
32U05 Plurisubharmonic functions and generalizations
31C10 Pluriharmonic and plurisubharmonic functions
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