On the density of certain modules of polyanalytic type in spaces of integrable functions on the boundaries of simply connected domains
| Autor: | K Yu Fedorovskiy |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Algebra and Number Theory Mathematics::Complex Variables 010102 general mathematics Holomorphic function 010103 numerical & computational mathematics Hardy space Type (model theory) Space (mathematics) 01 natural sciences Linear subspace symbols.namesake Unit circle Bounded function Simply connected space symbols 0101 mathematics Mathematics |
| Zdroj: | Sbornik: Mathematics. 207:140-154 |
| ISSN: | 1468-4802 1064-5616 |
| DOI: | 10.1070/sm8455 |
| Popis: | We consider the question of the density in the space , , on the unit circle, of the subspaces , where is the standard Hardy space and are given functions in the class . This question is closely related to problems of uniform and -approximations of functions by polyanalytic polynomials on the boundaries of simple connected domains in . The obtained results are formulated in terms of Nevanlinna and -Nevanlinna domains, that is, in terms of special analytic characteristics of simply connected domains in , which are related to the pseudocontinuation property of bounded holomorphic functions. Bibliography: 19 titles. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|