The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc
In this note we prove Fejer-Riesz inequality type results for some weighted Hilbert spaces of analytic functions in the unit disc. We describe also a class of such spaces for which Fejer-Riesz inequality type results do not hold.
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| Format: | Article |
| Language: | English |
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AGH Univeristy of Science and Technology Press
2011-01-01
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| Series: | Opuscula Mathematica |
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| Online Access: | http://www.opuscula.agh.edu.pl/vol31/4/art/opuscula_math_3140.pdf |
| _version_ | 1818174293857533952 |
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| author | Piotr Jakóbczak |
| author_facet | Piotr Jakóbczak |
| author_sort | Piotr Jakóbczak |
| collection | DOAJ |
| description | In this note we prove Fejer-Riesz inequality type results for some weighted Hilbert spaces of analytic functions in the unit disc. We describe also a class of such spaces for which Fejer-Riesz inequality type results do not hold. |
| first_indexed | 2024-12-11T19:42:06Z |
| format | Article |
| id | doaj.art-ba1a983dab2f407c8b8b09d24eb0813c |
| institution | Directory Open Access Journal |
| issn | 1232-9274 |
| language | English |
| last_indexed | 2024-12-11T19:42:06Z |
| publishDate | 2011-01-01 |
| publisher | AGH Univeristy of Science and Technology Press |
| record_format | Article |
| series | Opuscula Mathematica |
| spelling | doaj.art-ba1a983dab2f407c8b8b09d24eb0813c2022-12-22T00:52:59ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742011-01-01314605614http://dx.doi.org/10.7494/OpMath.2011.31.4.6053140The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit discPiotr Jakóbczak0Politechnika Krakowska, Instytut Matematyki, ul. Warszawska 24, 31-155 Kraków, PolandIn this note we prove Fejer-Riesz inequality type results for some weighted Hilbert spaces of analytic functions in the unit disc. We describe also a class of such spaces for which Fejer-Riesz inequality type results do not hold.http://www.opuscula.agh.edu.pl/vol31/4/art/opuscula_math_3140.pdfFejer-Riesz inequalityHilbert spaces of analytic functions |
| spellingShingle | Piotr Jakóbczak The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc Opuscula Mathematica Fejer-Riesz inequality Hilbert spaces of analytic functions |
| title | The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc |
| title_full | The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc |
| title_fullStr | The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc |
| title_full_unstemmed | The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc |
| title_short | The Fejer-Riesz type result for some weighted Hilbert spaces of analytic functions in the unit disc |
| title_sort | fejer riesz type result for some weighted hilbert spaces of analytic functions in the unit disc |
| topic | Fejer-Riesz inequality Hilbert spaces of analytic functions |
| url | http://www.opuscula.agh.edu.pl/vol31/4/art/opuscula_math_3140.pdf |
| work_keys_str_mv | AT piotrjakobczak thefejerriesztyperesultforsomeweightedhilbertspacesofanalyticfunctionsintheunitdisc AT piotrjakobczak fejerriesztyperesultforsomeweightedhilbertspacesofanalyticfunctionsintheunitdisc |