Projects funded by the NCN

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Families of peak and exposing functions in strictly pseudoconvex domains

2017/26/D/ST1/00126

Keywords:

peak function exposing function strictly pseudoconvex domain

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):

dr Arkadiusz Lewandowski 

Number of co-investigators in the project: 1

Call: SONATA 13 - announced on 2017-06-14

Amount awarded: 126 420 PLN

Project start date (Y-m-d): 2018-04-19

Project end date (Y-m-d): 2022-04-18

Project duration:: 48 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. Drukarka (700 PLN)
  2. komputer (10 786 PLN)

Information in the final report

  • Publication in academic press/journals (5)
  1. Families of Exposing Maps in Strictly Pseudoconvex Domains
    Authors:
    Arkadiusz Lewandowski
    Academic press:
    The Journal of Geometric Analysis (rok: 2021, tom: 31, strony: 697-714), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-019-00294-0 - link to the publication
  2. Splitting lemma for biholomorphic mappings with parameters - weakly pseudoconvex case
    Authors:
    Arkadiusz Lewandowski
    Academic press:
    Complex Variables and Elliptic Equations , Wydawca: Taylor&Francis LTD
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Strictly pseudoconvex domains and smoothly varying peak functions
    Authors:
    Arkadiusz Lewandowski
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2019, tom: 473 (2), strony: 1073-1080), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.01.009 - link to the publication
  4. Splitting lemma for biholomorphic mappings with smooth dependence on parameters
    Authors:
    Arkadiusz Lewandowski
    Academic press:
    The Journal of Geometric Analysis (rok: 2021, tom: 31, strony: 5783-5798), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-020-00504-0 - link to the publication
  5. Exposing maps in strictly pseudoconvex domains with smooth dependence on parameters
    Authors:
    Arkadiusz Lewandowski
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2021, tom: 149 (11), strony: 4881-4889), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/15669 - link to the publication

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