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Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes
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| Zeitschriftentitel: | Demonstratio Mathematica |
|---|---|
| Personen und Körperschaften: | , |
| In: | Demonstratio Mathematica, 52, 2019, 1, S. 82-87 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Walter de Gruyter GmbH
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| Schlagwörter: |
| author_facet |
Bandura, Andriy Skaskiv, Oleh Bandura, Andriy Skaskiv, Oleh |
|---|---|
| author |
Bandura, Andriy Skaskiv, Oleh |
| spellingShingle |
Bandura, Andriy Skaskiv, Oleh Demonstratio Mathematica Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes General Mathematics |
| author_sort |
bandura, andriy |
| spelling |
Bandura, Andriy Skaskiv, Oleh 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0008 <jats:title>Abstract</jats:title> <jats:p> We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable zj for the function F? This question is addressed for entire functions of bounded L-index in joint variables and entire functions of bounded L-index in direction. We also present a class of analytic functions in the unit ball which has bounded L-index in joint variables and has unbounded l-index in the variables z1 and z2 for any positive continuous function l : B2 → C.</jats:p> Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes Demonstratio Mathematica |
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Walter de Gruyter GmbH, 2019 |
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| title |
Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_unstemmed |
Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_full |
Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_fullStr |
Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_full_unstemmed |
Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_short |
Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_sort |
analytic functions in the unit ball of bounded l-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| topic |
General Mathematics |
| url |
http://dx.doi.org/10.1515/dema-2019-0008 |
| publishDate |
2019 |
| physical |
82-87 |
| description |
<jats:title>Abstract</jats:title>
<jats:p> We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable zj for the function F? This question is addressed for entire functions of bounded L-index in joint variables and entire functions of bounded L-index in direction. We also present a class of analytic functions in the unit ball which has bounded L-index in joint variables and has unbounded l-index in the variables z1 and z2 for any positive continuous function l : B2 → C.</jats:p> |
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| author | Bandura, Andriy, Skaskiv, Oleh |
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| description | <jats:title>Abstract</jats:title> <jats:p> We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable zj for the function F? This question is addressed for entire functions of bounded L-index in joint variables and entire functions of bounded L-index in direction. We also present a class of analytic functions in the unit ball which has bounded L-index in joint variables and has unbounded l-index in the variables z1 and z2 for any positive continuous function l : B2 → C.</jats:p> |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS9kZW1hLTIwMTktMDAwOA |
| imprint | Walter de Gruyter GmbH, 2019 |
| imprint_str_mv | Walter de Gruyter GmbH, 2019 |
| institution | DE-Gla1, DE-Zi4, DE-15, DE-Pl11, DE-Rs1, DE-105, DE-14, DE-Ch1, DE-L229, DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161 |
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| physical | 82-87 |
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| publisher | Walter de Gruyter GmbH |
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| recordtype | ai |
| series | Demonstratio Mathematica |
| source_id | 49 |
| spelling | Bandura, Andriy Skaskiv, Oleh 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0008 <jats:title>Abstract</jats:title> <jats:p> We give negative answer to the question of Bordulyak and Sheremeta for more general classes of entire functions than in the original formulation: Does index boundedness in joint variables for an entire function F imply index boundedness in the variable zj for the function F? This question is addressed for entire functions of bounded L-index in joint variables and entire functions of bounded L-index in direction. We also present a class of analytic functions in the unit ball which has bounded L-index in joint variables and has unbounded l-index in the variables z1 and z2 for any positive continuous function l : B2 → C.</jats:p> Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes Demonstratio Mathematica |
| spellingShingle | Bandura, Andriy, Skaskiv, Oleh, Demonstratio Mathematica, Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes, General Mathematics |
| title | Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_full | Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_fullStr | Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_full_unstemmed | Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_short | Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_sort | analytic functions in the unit ball of bounded l-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| title_unstemmed | Analytic functions in the unit ball of bounded L-index in joint variables and of bounded 𝐿-index in direction: a connection between these classes |
| topic | General Mathematics |
| url | http://dx.doi.org/10.1515/dema-2019-0008 |