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On distance function in some new analytic Bergman type spaces in \(\mathbb C^n\). (English) Zbl 1305.46016

Summary: We extend our previous sharp results on distances obtained for analytic Bergman type spaces in unit disk to some new analytic Bergman type spaces in higher dimensions in \(\mathbb C^n\). Also, we study the same problem in anisotropic mixed norm \(h(p,q,s)\) spaces consisting of \(n\)-harmonic functions on the unit polydisc of \(\mathbb C^n\).

MSC:

46E15 Banach spaces of continuous, differentiable or analytic functions
32A36 Bergman spaces of functions in several complex variables
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