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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Geometric function and mapping theory in Euclidean and metric measure spaces

2017/25/B/ST1/01955

Keywords:

harmonic functions and mappings p-harmonic mappings on metric measure spaces quasiregular and quasiconformal mappings Heisenberg and Carnot-Caratheodory groups curvature Jacobian

Descriptors:

  • ST1_11: Partial differential equations
  • ST1_5: Geometry
  • 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 :

Instytut Matematyczny Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Tomasz Adamowicz 

Number of co-investigators in the project: 2

Call: OPUS 13 - announced on 2017-03-15

Amount awarded: 221 340 PLN

Project start date (Y-m-d): 2018-01-15

Project end date (Y-m-d): 2023-01-14

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.

Information in the final report

  • Publication in academic press/journals (11)
  1. Hardy spaces for quasiregular mappings and composition operators
    Authors:
    Tomasz Adamowicz, María J. González
    Academic press:
    Journal of Geometric Analysis (rok: 2021, tom: 31, strony: 11417–11427), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-021-00687-0 - link to the publication
  2. Isoperimetric inequalities and geometry of level curves of harmonic functions on smooth and singular surfaces
    Authors:
    Tomasz Adamowicz, Giona Veronelli
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2022, tom: 61(2), strony: 45321), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-021-02109-z - link to the publication
  3. Hardy spaces and quasiregular mappings
    Authors:
    Tomasz Adamowicz, María J. González
    Academic press:
    Transactions of AMS , Wydawca: AMS
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. Variational approach to the asymptotic mean-value property for the p-Laplacian on Carnot groups
    Authors:
    Tomasz Adamowicz, Antoni Kijowski, Andrea Pinamonti, Ben Warhurst
    Academic press:
    Nonlinear Analysis. Theory, Methods & Applications. (rok: 2020, tom: 198, strony: 22), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.na.2020.111893 - link to the publication
  5. Schwarzians on the Heisenberg group
    Authors:
    Tomasz Adamowicz, Ben Warhurst
    Academic press:
    Comm. Geom. Analysis , Wydawca: INT PRESS BOSTON, INC
    Status:
    Submitted
    DOI:
    brak - link to the publication
  6. Asymptotically mean value harmonic functions in subriemannian and RCD settings
    Authors:
    Tomasz Adamowicz , Antoni Kijowski, Elefterios Soultanis
    Academic press:
    Journal of Geometric Analysis (rok: 2023, tom: 33(3), strony: 45321), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-022-01132-6 - link to the publication
  7. Jet spaces on Carnot groups
    Authors:
    Sebastiano Nicolussi Golo, Benjamin Warhurst
    Academic press:
    Revista Matematica Iberoamericana , Wydawca: Springer
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  8. Isoperimetric inequalities and geometry of level curves of A-harmonic functions on smooth surfaces
    Authors:
    T. ADAMOWICZ, G. VERONELLI
    Academic press:
    Calc. Var. PDEs , Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication
  9. Asymptotically mean value harmonic functions in doubling metric measure spaces
    Authors:
    Tomasz Adamowicz, Antoni Kijowski, Elefterios Soultanis
    Academic press:
    Analysis and Geometry in Metric Spaces (rok: 2022, tom: 10(1), strony: 344-372), Wydawca: De Guyter
    Status:
    Published
    DOI:
    10.1515/agms-2022-0143 - link to the publication
  10. Hardy spaces and quasiconformal maps in the Heisenberg group
    Authors:
    Tomasz Adamowicz, Katrin Fässler
    Academic press:
    Journal of Functional Analysis (rok: 2023, tom: 284(6), strony: 24838), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109832 - link to the publication
  11. Strong Liouville theorems for discrete averaging operators
    Authors:
    Tomasz Adamowicz, José G. Llorente
    Academic press:
    Potential Analysis (rok: 2023, tom: b.d., strony: b.d.), Wydawca: Springer
    Status:
    Submitted
    DOI:
    brak - link to the publication

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