Atomic decomposition in regulated domains

Authors

  • Teemu Hanninen

DOI:

https://doi.org/10.1285/i15900932v24n1p65

Keywords:

Atomic decomposition, Bergman space, Regulated domains, Reproducing kernel

Abstract

We obtain atomic decomposition formulas for weighted Bergman spaces $A_{?}p(ω)$, $? > -1, 1 < p < ∈fty$, where $ω ∈ Bbb C$ belongs to the class of regulated domains. We are able to construct atomic decomposition directly on a give regulated domain $ω$ by using its geometric properties.

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Published

25-10-2005

Issue

Volume 24, Issue 1 (2005)

Section

Articoli

License

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http://creativecommons.org/licenses/by-nc-nd/3.0/it/legalcode