Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem
We generalize some criteria of boundedness of $\mathbf{L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial derivative by lower order partial derivatives (analogue of Haym...
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2018-12-01
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| Series: | Mathematica Bohemica |
| Subjects: | |
| Online Access: | http://mb.math.cas.cz/full/143/4/mb143_4_2.pdf |
| _version_ | 1819240066220818432 |
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| author | Andriy Bandura Nataliia Petrechko Oleh Skaskiv |
| author_facet | Andriy Bandura Nataliia Petrechko Oleh Skaskiv |
| author_sort | Andriy Bandura |
| collection | DOAJ |
| description | We generalize some criteria of boundedness of $\mathbf{L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial derivative by lower order partial derivatives (analogue of Hayman's theorem). |
| first_indexed | 2024-12-23T14:02:06Z |
| format | Article |
| id | doaj.art-84f22101844549fe8d1943888e7dcf56 |
| institution | Directory Open Access Journal |
| issn | 0862-7959 2464-7136 |
| language | English |
| last_indexed | 2024-12-23T14:02:06Z |
| publishDate | 2018-12-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj.art-84f22101844549fe8d1943888e7dcf562022-12-21T17:44:18ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362018-12-01143433935410.21136/MB.2017.0110-16MB.2017.0110-16Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theoremAndriy BanduraNataliia PetrechkoOleh SkaskivWe generalize some criteria of boundedness of $\mathbf{L}$-index in joint variables for in a bidisc analytic functions. Our propositions give an estimate the maximum modulus on a skeleton in a bidisc and an estimate of $(p+1)$th partial derivative by lower order partial derivatives (analogue of Hayman's theorem).http://mb.math.cas.cz/full/143/4/mb143_4_2.pdf analytic function bidisc bounded ${\mathbf L}$-index in joint variables maximum modulus partial derivative Cauchy's integral formula |
| spellingShingle | Andriy Bandura Nataliia Petrechko Oleh Skaskiv Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem Mathematica Bohemica analytic function bidisc bounded ${\mathbf L}$-index in joint variables maximum modulus partial derivative Cauchy's integral formula |
| title | Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem |
| title_full | Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem |
| title_fullStr | Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem |
| title_full_unstemmed | Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem |
| title_short | Maximum modulus in a bidisc of analytic functions of bounded $<b> L</b>$-index and an analogue of Hayman's theorem |
| title_sort | maximum modulus in a bidisc of analytic functions of bounded b l b index and an analogue of hayman s theorem |
| topic | analytic function bidisc bounded ${\mathbf L}$-index in joint variables maximum modulus partial derivative Cauchy's integral formula |
| url | http://mb.math.cas.cz/full/143/4/mb143_4_2.pdf |
| work_keys_str_mv | AT andriybandura maximummodulusinabidiscofanalyticfunctionsofboundedblbindexandananalogueofhaymanstheorem AT nataliiapetrechko maximummodulusinabidiscofanalyticfunctionsofboundedblbindexandananalogueofhaymanstheorem AT olehskaskiv maximummodulusinabidiscofanalyticfunctionsofboundedblbindexandananalogueofhaymanstheorem |