Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains
UDC 517.54 We consider a classical problem of the geometric function theory concerning the maximum product of certain powers of the inner radii of $n$ mutually disjoint domains with respect to $n$ fixed points in the complex plane. For this product, several estimates of evolutionary type are e...
Saved in:
| Date: | 2026 |
|---|---|
| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian |
| Published: |
Institute of Mathematics, NAS of Ukraine
2026
|
| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8919 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: | |
Institution
Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860513343525093376 |
|---|---|
| author | Zabolotnyi, Ya. Заболотний, Ярослав |
| author_facet | Zabolotnyi, Ya. Заболотний, Ярослав |
| author_sort | Zabolotnyi, Ya. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-03-22T13:31:23Z |
| description |
UDC 517.54
We consider a classical problem of the geometric function theory concerning the maximum product of certain powers of the inner radii of $n$ mutually disjoint domains with respect to $n$ fixed points in the complex plane. For this product, several estimates of evolutionary type are established. |
| doi_str_mv | 10.3842/umzh.v77i5.8919 |
| first_indexed | 2026-03-24T03:43:10Z |
| format | Article |
| fulltext |
Skip to main content
Skip to main navigation menu
Skip to site footer
Open Menu
Ukrains’kyi Matematychnyi Zhurnal
Current
Archives
Submissions
Major topics of interest
About
About Journal
Editorial Team
Ethics & Disclosures
Contacts
Search
Register
Login
Home
/
Login
Login
Required fields are marked with an asterisk: *
Subscription required to access item. To verify subscription, log in to journal.
Login
Username or Email
*
Required
Password
*
Required
Forgot your password?
Keep me logged in
Login
Register
Language
English
Українська
Information
For Readers
For Authors
For Librarians
subscribe
Subscribe
Latest publications
Make a Submission
Make a Submission
STM88 menghadirkan Link Gacor dengan RTP tinggi untuk peluang menang yang lebih sering! Bergabunglah sekarang dan buktikan keberuntungan Anda!
Pilih STM88 sebagai agen toto terpercaya Anda dan nikmati kenyamanan bermain dengan sistem betting cepat, result resmi, dan bonus cashback harian.
|
| id | umjimathkievua-article-8919 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian |
| last_indexed | 2026-03-24T03:43:10Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/9d/160d67933f18e0110b65a1361ca2a19d |
| spelling | umjimathkievua-article-89192026-03-22T13:31:23Z Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains Оцінки еволюційного типу для добутків деяких степенів внутрішніх радіусів багатозв'язних областей Zabolotnyi, Ya. Заболотний, Ярослав inner radius of domain, non-overlapping domains, Green's function внутрішній радіус області, неперетинні області, функція Гріна UDC 517.54 We consider a classical problem of the geometric function theory concerning the maximum product of certain powers of the inner radii of $n$ mutually disjoint domains with respect to $n$ fixed points in the complex plane. For this product, several estimates of evolutionary type are established. УДК 517.54 Розглянуто відому проблему геометричної теорії функцій про максимум добутку деяких степенів внутрішніх радіусів $n$ довільних взаємно неперетинних областей щодо $n$ фіксованих точок комплексної площини і для згаданого добутку отримано деякі оцінки еволюційного типу. Institute of Mathematics, NAS of Ukraine 2026-03-21 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/8919 10.3842/umzh.v77i5.8919 Ukrains’kyi Matematychnyi Zhurnal; Vol. 77 No. 5 (2025); 314–323 Український математичний журнал; Том 77 № 5 (2025); 314–323 1027-3190 uk https://umj.imath.kiev.ua/index.php/umj/article/view/8919/10531 Copyright (c) 2025 Ярослав Заболотний |
| spellingShingle | Zabolotnyi, Ya. Заболотний, Ярослав Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains |
| title | Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains |
| title_alt | Оцінки еволюційного типу для добутків деяких степенів внутрішніх радіусів багатозв'язних областей |
| title_full | Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains |
| title_fullStr | Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains |
| title_full_unstemmed | Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains |
| title_short | Evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains |
| title_sort | evolutionary-type estimates for the products of some powers of the inner radii of multiply connected domains |
| topic_facet | inner radius of domain non-overlapping domains Green's function внутрішній радіус області неперетинні області функція Гріна |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/8919 |
| work_keys_str_mv | AT zabolotnyiya evolutionarytypeestimatesfortheproductsofsomepowersoftheinnerradiiofmultiplyconnecteddomains AT zabolotnijâroslav evolutionarytypeestimatesfortheproductsofsomepowersoftheinnerradiiofmultiplyconnecteddomains AT zabolotnyiya ocínkievolûcíjnogotipudlâdobutkívdeâkihstepenívvnutríšníhradíusívbagatozv039âznihoblastej AT zabolotnijâroslav ocínkievolûcíjnogotipudlâdobutkívdeâkihstepenívvnutríšníhradíusívbagatozv039âznihoblastej |