Poletsky–Stessin Hardy Spaces on Complex Ellipsoids in $$\mathbb {C}^{n}$$ C n
| Autor: | Sibel Sahin |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Mathematics::Functional Analysis
Pure mathematics Mathematics::Complex Variables Composition operator Applied Mathematics 010102 general mathematics Mathematical analysis Mathematics::Classical Analysis and ODEs Composition (combinatorics) Hardy space Operator theory 01 natural sciences Boundary values Ellipsoid Computational Mathematics symbols.namesake Compact space Computational Theory and Mathematics 0103 physical sciences symbols 010307 mathematical physics 0101 mathematics Variable (mathematics) Mathematics |
| Zdroj: | Complex Analysis and Operator Theory. 10:295-309 |
| ISSN: | 1661-8262 1661-8254 |
| Popis: | We study Poletsky–Stessin Hardy spaces on complex ellipsoids in \(\mathbb {C}^{n}\). Different from one variable case, classical Hardy spaces are strictly contained in Poletsky–Stessin Hardy spaces on complex ellipsoids so boundary values are not automatically obtained in this case. We have showed that functions belonging to Poletsky–Stessin Hardy spaces have boundary values and they can be approached through admissible approach regions in the complex ellipsoid case. Moreover, we have obtained that polynomials are dense in these spaces. We also considered the composition operators acting on Poletsky–Stessin Hardy spaces on complex ellipsoids and gave conditions for their boundedness and compactness. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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