Several Complex Variables vs. Operator Theory

2017/26/E/ST1/00723

Keywords

Descriptors

ST1_8: Analiza
ST1_9: Algebry operatorowe i analiza funkcjonalna

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

Voivodeship: 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: 2018-04-19
Project end date: 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)

On polynomial extension property in n-disc

Authors:
Krzysztof Maciaszek

Academic press:
Complex Analysis and Operator Theory (year: 2019, volume: 13, pages: 2771–2780), Publisher: Springer

Status:
Published

DOI:
10.1007/s11785-019-00912-3 – link to the publication
Balanced metric and Berezin quantization on the Hartogs triangles

Authors:
Enchao Bi, Guicong Su

Academic press:
Annali di Matematica Pura ed Applicata (year: 2021, volume: 200, pages: 273–285), Publisher: Springer

Status:
Published

DOI:
10.1007/s10231-020-00995-2 – link to the publication
Polynomial extension property in the classical Cartan domain RII

Authors:
Krzysztof Maciaszek

Academic press:
ARCHIV DER MATHEMATIK (year: 2020, volume: 115, pages: 657–666), Publisher: Springer

Status:
Published

DOI:
10.1007/s00013-020-01513-9 – link to the publication
Geometry of uniqueness varieties for a three-point Pick problem in D^3

Authors:
K. Maciaszek

Academic press:
Bulletin des Sciences Mathématiques (year: 2023, volume: 188, pages: 103337), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.bulsci.2023.103337 – link to the publication
EXTENSION PROPERTY AND UNIVERSAL SETS

Authors:
Ł. Kosiński, W. Zwonek

Academic press:
Canadian Journal of Mathematics (year: 2021, volume: 3, pages: 717-736), Publisher: Cambridge

Status:
Published

DOI:
10.4153/S0008414X20000139 – link to the publication
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 (year: 2022, volume: 283 (9), pages: 109636), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jfa.2022.109636 – link to the publication
Slice rigidity property of holomorphic maps Kobayashi-isometrically preserving complex geodesics

Authors:
Filippo Bracci, Łukasz Kosiński, Włodzimierz Zwonek

Academic press:
Journal of Geometric Analysis (year: 2021, volume: 11, pages: 11292-11311), Publisher: springer

Status:
Published

DOI:
10.1007/s12220-021-00681-6 – link to the publication
Complete norm-preserving extensions of holomorphic functions

Authors:
J. Agler, Ł. Kosiński, J.E. McCarthy

Academic press:
Israel Journal of Mathematics (year: 2023, volume: 255, pages: 251-263), Publisher: Springer

Status:
Published

DOI:
10.1007/s11856-022-2415-2 – link to the publication
Construction of labyrinths in pseudoconvex domains

Authors:
S. Charpentier, Ł. Kosiński

Academic press:
Mathematische Zeitschrift (year: 2020, volume: 296, pages: 1021-1025), Publisher: springer

Status:
Published

DOI:
10.1007/s00209-020-02468-x – link to the publication
Cyclic polynomials in Dirichlet-type spaces in the unit ball of C^2

Authors:
Łukasz Kosiński, Dimitrios Vavitsas

Academic press:
Constructive Approximation (year: 2023, volume: 58, pages: 343–361), Publisher: Springer

Status:
Published

DOI:
10.1007/s00365-022-09610-4 – link to the publication
Composition operators on the polydisc

Authors:
Łukasz Kosiński

Academic press:
Journal of Functional Analysis (year: 2023, volume: 284 (5), pages: 109636), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jfa.2022.109801 – link to the publication
WILD BOUNDARY BEHAVIOUR OF HOLOMORPHIC FUNCTIONS IN DOMAINS OF C N

Authors:
S. Charpentier, Ł. Kosiński

Academic press:
Indiana University Mathematics Journal (year: 2021, volume: 6, pages: 2351-2367), Publisher: Indiana University

Status:
Published

DOI:
link to the publication
Compact vectorial Toeplitz operators on the Segal-Bargmann space

Authors:
Tomasz Beberok, PiotrBudzyński, Dong-OKang

Academic press:
Journal of Mathematical Analysis and Applications (year: 2020, volume: 481(2), pages: 46035), Publisher: Elsevier

Status:
Published

DOI:
10.1016/j.jmaa.2019.123460 – link to the publication
GEOMETRIC PROPERTIES OF THE PENTABLOCK

Authors:
Guicong Su

Academic press:
Complex Analysis and Operator Theory (year: 2020, volume: 14 (44), pages: 14), Publisher: springer

Status:
Published

DOI:
10.1007/s11785-020-01001-6 – link to the publication
Invariant means on Abelian groups capture complementability of Banach spaces in their second duals

Authors:
Adam P. Goucher, Tomasz Kania

Academic press:
Studia Mathematica (year: 2021, volume: 260, pages: 91-101), Publisher: Polish Academy of Science

Status:
Published

DOI:
10.4064/sm200706-15-1 – link to the publication
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 (year: 2023, volume: 66, pages: 886–902), Publisher: Cambridge

Status:
Published

DOI:
10.4153/s0008439523000085 – link to the publication
The *-product of domain in Several Complex Variables

Authors:
Sylwester Zając

Academic press:
Complex Variables and Elliptic Equations (year: 2024, volume: 69, pages: 35-46), Publisher: Taylor & Francis

Status:
Published

DOI:
10.1080/17476933.2022.2107635 – link to the publication
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 (year: 2021, volume: 149 no.2, pages: 661–669), Publisher: AMS

Status:
Published

DOI:
10.1090/proc/15195 – link to the publication
Aluthge transforms of unbounded weighted composition operators in L2-spaces

Authors:
Chafiq Benhida, Piotr Budzynski, Jacek Trepkowski

Academic press:
MATHEMATISCHE NACHRICHTEN (year: 2020, volume: 10, pages: 1888–1910), Publisher: Wiley-VCH

Status:
Published

DOI:
10.1002/mana.201800503 – link to the publication
Lower Estimates of the Kobayashi Distance and Limits of Complex Geodesics

Authors:
Łukasz Kosiński, Nikolai Nikolov

Academic press:
Mathematische Annalen (year: 2024, volume: 389, pages: 1925–1937), Publisher: Springer

Status:
Published

DOI:
10.1007/s00208-023-02694-8 – link to the publication
Gehring-Hayman inequality for strongly pseudoconvex domains

Authors:
Łukasz Kosiński, Nikolai Nikolov, Pascal J. Thomas

Academic press:
International Mathematics Research Notices (year: 2024, volume: 11, pages: 9165–9177), Publisher: Oxford

Status:
Published

DOI:
10.1093/imrn/rnae017 – link to the publication
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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