Poletsky–Stessin Hardy spaces on domains bounded by an analytic Jordan curve in ℂ
| Autor: | Sibel Sahin |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Mathematics::Functional Analysis
Numerical Analysis Pure mathematics Mathematics::Complex Variables Applied Mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs Harmonic (mathematics) Hardy space Bounded mean oscillation Jordan curve theorem Computational Mathematics symbols.namesake Compact space Factorization Bounded function symbols Interpolation space Analysis Mathematics |
| Zdroj: | Complex Variables and Elliptic Equations. 60:1114-1132 |
| ISSN: | 1747-6941 1747-6933 |
| Popis: | We study Poletsky–Stessin Hardy spaces that are generated by continuous, subharmonic exhaustion functions on a domain , that is bounded by an analytic Jordan curve. Different from Poletsky and Stessin’s work these exhaustion functions are not necessarily harmonic outside of a compact set but have finite Monge–Ampere mass. We have showed that functions belonging to Poletsky–Stessin Hardy spaces have a factorization analogous to classical Hardy spaces and the algebra is dense in these spaces as in the classical case; however, contrary to the classical Hardy spaces, composition operators with analytic symbols on these Poletsky–Stessin Hardy spaces need not always be bounded |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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