Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Selected problems in Several Complex Variables

2015/17/B/ST1/00996

Keywords:

Holomorphically invariant functions Lempert theorem nowhere differentiable functions completeness with respect to invariant distances peak functions sequences of complex manifolds

Descriptors:

  • ST1_8: Analysis

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Uniwersytet Jagielloński, Wydział Matematyki i Informatyki

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Włodzimierz Zwonek 

Number of co-investigators in the project: 3

Call: OPUS 9 - announced on 2015-03-16

Amount awarded: 328 800 PLN

Project start date (Y-m-d): 2016-02-15

Project end date (Y-m-d): 2021-02-14

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Monitor (2 650 PLN)
  2. Urządzenie wielofunkcyjne 3 szt. (2 761 PLN)
  3. Trzy zestawy komputerowe (3 szt.) (18 000 PLN)

Information in the final report

  • Publication in academic press/journals (15)
  • Book publications / chapters in book publications (2)
  1. A remark on the Sibony function
    Authors:
    Marek Jarnicki, Peter Pflug
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2018, tom: 461(2), strony: 1374-1377), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2018.01.052 - link to the publication
  2. One dimensional estimates for the Bergman kernel and logarithmic capacity
    Authors:
    Zbigniew Błocki, Włodzimierz Zwonek
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2018, tom: 146, strony: 2489-2495), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13916 - link to the publication
  3. Peak functions in C-convex domains
    Authors:
    Peter Pflug, Włodzimierz Zwonek
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2019, tom: 198, strony: 27-35), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-018-0759-3 - link to the publication
  4. Extension property and universal sets
    Authors:
    Łukasz Kosiński, Włodzimierz Zwonek
    Academic press:
    Canadian Journal of Mathematics (rok: 2021, tom: 73, strony: 717-736), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.4153/S0008414X20000139 - link to the publication
  5. Function theoretic properties of symmetric powers of complex manifolds
    Authors:
    Włodzimierz Zwonek
    Academic press:
    Journal of Geometric Analysis (rok: 2020, tom: 30, strony: 1226-1237), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-019-00233-z - link to the publication
  6. Generalizations of the higher dimensional Suita conjecture and its relation with a problem of Wiegerinck
    Authors:
    Zbigniew Błocki, Włodzimierz Zwonek
    Academic press:
    Journal of Geometric Analysis (rok: 2020, tom: 30, strony: 1259-1270), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-019-00343-8 - link to the publication
  7. L2h -Functions in Unbounded Balanced Domains
    Authors:
    Peter Pflug, Włodzimierz Zwonek
    Academic press:
    Journal of Geometric Analysis (rok: 2017, tom: 27(3), strony: 2118–2130), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-016-9754-3 - link to the publication
  8. Nevanlinna-Pick interpolation problem in the ball
    Authors:
    Łukasz Kosiński, Włodzimierz Zwonek
    Academic press:
    Transactions of the American Mathematical Society (rok: 2018, tom: 370, strony: 3931-3947), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/tran/7063 - link to the publication
  9. Remarks on the Sibony functions and pseudometrics
    Authors:
    Marek Jarnicki, Peter Pflug
    Academic press:
    Archiv d. Mathematik (rok: 2019, tom: 113, strony: 291-300), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-019-01338-1 - link to the publication
  10. A remark on the product property for the generalized Moebius function
    Authors:
    Marek Jarnicki, Peter Pflug
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2018, tom: 146, strony: 743-746), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/13764 - link to the publication
  11. Caratheodory completeness on the complex plane
    Authors:
    Armen Edigarian
    Academic press:
    Universitatis Iagellonicae Acta Mathematica (rok: 2019, tom: 56, strony: 15-21), Wydawca: Wydawnictwo Uniwersytetu Jagiellońskiego
    Status:
    Published
    DOI:
    10.4467/20843828AM.19.002.12110 - link to the publication
  12. Regularity of complex geodesics and (non)-Gromov hyperbolicity of convex tube domains
    Authors:
    Peter Pflug, Włodzimierz Zwonek
    Academic press:
    Forum Mathematicum (rok: 2018, tom: 30(1), strony: 159-170), Wydawca: de Gruyter
    Status:
    Published
    DOI:
    10.1515/forum-2016-0217 - link to the publication
  13. A characterization of holomorphic mappings on a poly-plane
    Authors:
    Armen Edigarian
    Academic press:
    Indagationes Mathematicae (rok: 2021, tom: 32, strony: 792-796), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.indag.2021.04.003 - link to the publication
  14. Kobayashi isometries in convex domains
    Authors:
    Armen Edigarian
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2019, tom: 147, strony: 5257-5261), Wydawca: American Mathematical Society
    Status:
    Published
    DOI:
    10.1090/proc/14681 - link to the publication
  15. Slice rigidity property of holomorphic maps Kobayashi-isometrically preserving complex geodesics
    Authors:
    Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek
    Academic press:
    Journal of Geometric Analysis (rok: 2021, tom: 31, strony: 11292-11311), Wydawca: Springer Verlag
    Status:
    Published
    DOI:
    10.1007/s12220-021-00681-6 - link to the publication
  1. Książka obejmuje pięć rozdziałów
    Authors:
    Marek Jarnicki, Peter Pflug
    Book:
    Extension of Holomorphic Functions, 2nd extended edition (rok: 2020, tom: 34, strony: 1-572), Wydawca: Walter de Gruyter
    Status:
    Published
  2. A glimpse into invariant distances in complex analysis
    Authors:
    Marek Jarnicki, Peter Pflug
    Book:
    Handbook of Complex Analysis (S.G. Krantz, ed) , Wydawca: Taylor & Francis Publishers
    Status:
    Accepted for publication

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