Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Several Complex Variables vs. Operator Theory

2017/26/E/ST1/00723

Keywords:

Pick interpolation von Neumann inequality numerical range Dirichlet type spaces extension property

Descriptors:

  • ST1_8:
  • ST1_9:

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 hab. Łukasz Kosiński 

Number of co-investigators in the project: 5

Call: SONATA BIS 7 - announced on 2017-06-14

Amount awarded: 1 184 400 PLN

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

Project end date (Y-m-d): 2024-10-18

Project duration:: 78 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.

Information in the final report

  • Publication in academic press/journals (22)
  1. 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: 11, strony: 11292-11311), Wydawca: springer
    Status:
    Published
    DOI:
    10.1007/s12220-021-00681-6 - link to the publication
  2. Complete norm-preserving extensions of holomorphic functions
    Authors:
    J. Agler, Ł. Kosiński, J.E. McCarthy
    Academic press:
    Israel Journal of Mathematics (rok: 2023, tom: 255, strony: 251-263), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11856-022-2415-2 - link to the publication
  3. Composition operators on the polydisc
    Authors:
    Łukasz Kosiński
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284 (5), strony: 109636), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109801 - link to the publication
  4. Geometry of uniqueness varieties for a three-point Pick problem in D^3
    Authors:
    K. Maciaszek
    Academic press:
    Bulletin des Sciences Mathématiques (rok: 2023, tom: 188, strony: 103337), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.bulsci.2023.103337 - link to the publication
  5. Polynomial extension property in the classical Cartan domain RII
    Authors:
    Krzysztof Maciaszek
    Academic press:
    ARCHIV DER MATHEMATIK (rok: 2020, tom: 115, strony: 657–666), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00013-020-01513-9 - link to the publication
  6. APPROXIMATE MODULARITY: KALTON'S CONSTANT IS NOT SMALLER THAN 3
    Authors:
    MICHAŁ GNACIK, MARCIN GUZIK, AND TOMASZ KANIA
    Academic press:
    Proceedings of the American Mathematical Society (rok: 2021, tom: 149 no.2, strony: 661–669), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/proc/15195 - link to the publication
  7. Gehring-Hayman inequality for strongly pseudoconvex domains
    Authors:
    Łukasz Kosiński, Nikolai Nikolov, Pascal J. Thomas
    Academic press:
    International Mathematics Research Notices (rok: 2024, tom: 11, strony: 9165–9177), Wydawca: Oxford
    Status:
    Published
    DOI:
    10.1093/imrn/rnae017 - link to the publication
  8. WILD BOUNDARY BEHAVIOUR OF HOLOMORPHIC FUNCTIONS IN DOMAINS OF C N
    Authors:
    S. Charpentier, Ł. Kosiński
    Academic press:
    Indiana University Mathematics Journal (rok: 2021, tom: 6, strony: 2351-2367), Wydawca: Indiana University
    Status:
    Published
    DOI:
    link to the publication
  9. Compact vectorial Toeplitz operators on the Segal-Bargmann space
    Authors:
    Tomasz Beberok, PiotrBudzyński, Dong-OKang
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2020, tom: 481(2), strony: 45670), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2019.123460 - link to the publication
  10. The *-product of domain in Several Complex Variables
    Authors:
    Sylwester Zając
    Academic press:
    Complex Variables and Elliptic Equations (rok: 2024, tom: 69, strony: 35-46), Wydawca: Taylor & Francis
    Status:
    Published
    DOI:
    10.1080/17476933.2022.2107635 - link to the publication
  11. A note on cyclic vectors in Dirichlet-type spaces in the unit ball of $\mathbb{C}^n
    Authors:
    Dimitrios Vavitsas
    Academic press:
    Canadian Mathematical Bulletin (rok: 2023, tom: 66, strony: 886–902), Wydawca: Cambridge
    Status:
    Published
    DOI:
    10.4153/s0008439523000085 - link to the publication
  12. On polynomial extension property in n-disc
    Authors:
    Krzysztof Maciaszek
    Academic press:
    Complex Analysis and Operator Theory (rok: 2019, tom: 13, strony: 2771–2780), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s11785-019-00912-3 - link to the publication
  13. Lower Estimates of the Kobayashi Distance and Limits of Complex Geodesics
    Authors:
    Łukasz Kosiński, Nikolai Nikolov
    Academic press:
    Mathematische Annalen (rok: 2024, tom: 389, strony: 1925–1937), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00208-023-02694-8 - link to the publication
  14. Cyclic polynomials in Dirichlet-type spaces in the unit ball of C^2
    Authors:
    Łukasz Kosiński, Dimitrios Vavitsas
    Academic press:
    Constructive Approximation (rok: 2023, tom: 58, strony: 343–361), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00365-022-09610-4 - link to the publication
  15. EXTENSION PROPERTY AND UNIVERSAL SETS
    Authors:
    Ł. Kosiński, W. Zwonek
    Academic press:
    Canadian Journal of Mathematics (rok: 2021, tom: 3, strony: 717-736), Wydawca: Cambridge
    Status:
    Published
    DOI:
    10.4153/S0008414X20000139 - link to the publication
  16. Aluthge transforms of unbounded weighted composition operators in L2-spaces
    Authors:
    Chafiq Benhida, Piotr Budzynski, Jacek Trepkowski
    Academic press:
    MATHEMATISCHE NACHRICHTEN (rok: 2020, tom: 10, strony: 1888–1910), Wydawca: Wiley-VCH
    Status:
    Published
    DOI:
    10.1002/mana.201800503 - link to the publication
  17. Invariant means on Abelian groups capture complementability of Banach spaces in their second duals
    Authors:
    Adam P. Goucher, Tomasz Kania
    Academic press:
    Studia Mathematica (rok: 2021, tom: 260, strony: 91-101), Wydawca: Polish Academy of Science
    Status:
    Published
    DOI:
    10.4064/sm200706-15-1 - link to the publication
  18. Balanced metric and Berezin quantization on the Hartogs triangles
    Authors:
    Enchao Bi, Guicong Su
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2021, tom: 200, strony: 273–285), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-020-00995-2 - link to the publication
  19. GEOMETRIC PROPERTIES OF THE PENTABLOCK
    Authors:
    Guicong Su
    Academic press:
    Complex Analysis and Operator Theory (rok: 2020, tom: 14 (44), strony: 14), Wydawca: springer
    Status:
    Published
    DOI:
    10.1007/s11785-020-01001-6 - link to the publication
  20. Construction of labyrinths in pseudoconvex domains
    Authors:
    S. Charpentier, Ł. Kosiński
    Academic press:
    Mathematische Zeitschrift (rok: 2020, tom: 296, strony: 1021-1025), Wydawca: springer
    Status:
    Published
    DOI:
    10.1007/s00209-020-02468-x - link to the publication
  21. Norm Preserving Extensions of Holomorphic Functions Defined on Varieties in C^n
    Authors:
    Jim Agler, Łukasz Kosiński, John McCarthy
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 283 (9), strony: 109636), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109636 - link to the publication
  22. A class of symbols that induce bounded composition operators for Dirichlet-type spaces on the disc
    Authors:
    Athanasios Beslikas
    Status:
    Accepted for publication

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