Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

Delete all

Nonlinear integral forms related to jump-type Markov processes

2018/31/B/ST1/03818

Keywords:

jump-type Markov processes nonlocal operators integral identities and inequalities

Descriptors:

  • ST1_13: Probability and statistics
  • ST1_9: Operator algebras and functional analysis
  • ST1_11: Partial differential equations

Panel:

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

Host institution :

Uniwersytet Warszawski, Wydział Matematyki, Informatyki i Mechaniki

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Katarzyna Pietruska-Pałuba 

Number of co-investigators in the project: 4

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 473 440 PLN

Project start date (Y-m-d): 2019-07-05

Project end date (Y-m-d): 2023-07-04

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. laptop (5 000 PLN)

Information in the final report

  • Publication in academic press/journals (9)
  1. Bregman divergence of semimartingales
    Authors:
    Krzysztof Bogdan, Dominik Kutek, Katarzyna Pietruska-Pałuba
    Academic press:
    Bernoulli , Wydawca: Bernoulli Society
    Status:
    Submitted
    DOI:
    brak - link to the publication
  2. Polarized Hardy-Stein identity
    Authors:
    Krzysztof Bogdan, Michał Gutowski, Katarzyna Pietruska-Pałuba
    Academic press:
    Transactions of the AMS , Wydawca: AMS
    Status:
    Submitted
    DOI:
    brak - link to the publication
  3. Hardy-Stein identity for pure-jump Dirichlet forms
    Authors:
    Gutowski Michał
    Academic press:
    Bull.Pol. Acad. Sci. Math (rok: 2023, tom: 71, strony: 65-84), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ba230404-1-6 - link to the publication
  4. Nonlinear Gagliardo-Nirenberg inequality and a priori estimates for nonlinear elliptic eigenvalue problems
    Authors:
    Agnieszka Kałamajska, Dalimil Pesa, Tomas Roskovec
    Academic press:
    Proc. A Royal Soc. Edinburgh , Wydawca: Cambridge University Press
    Status:
    Submitted
    DOI:
    brak - link to the publication
  5. Burkholder inequality by Bregman divergence
    Authors:
    Krzysztof Bogdan, Mateusz Więcek
    Academic press:
    Bull. Pol. Acad. Sci. Math. (rok: 2022, tom: 70, strony: 83-92), Wydawca: IMPAN
    Status:
    Published
    DOI:
    10.4064/ba220304-12-4 - link to the publication
  6. Optimal Hardy inequality for the fractional Laplacian on Lp
    Authors:
    Krzysztof Bogdan, Tomasz Jakubowski, Julia Lenczewska, Katarzyna Pietruska-Paluba
    Academic press:
    Journal of Functional Analysis (rok: 2022, tom: 282, strony: 109395), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jfa.2022.109395 - link to the publication
  7. The Douglas formula in Lp
    Authors:
    Krzysztof Bogdan, Damian Fafuła, Artur Rutkowski
    Academic press:
    Nonlinear Differential Equations and Applications NoDEA (rok: 2023, tom: 1,28819444444444, strony: 1,28819444444444), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00030-023-00865-9 - link to the publication
  8. Density results and trace operator in weighted Sobolev spaces defined on the half-line, equipped with power weights
    Authors:
    Radosław Kaczmarek, Agnieszka Kałamajska
    Academic press:
    Journal of Approximation Theory (rok: 2023, tom: 291, strony: 105896), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jat.2023.105896 - link to the publication
  9. Nonlinear nonlocal Douglas identity
    Authors:
    Krzysztof Bogdan, Tomasz Grzywny, Katarzyna Pietruska-Pałuba, Artur Rutkowski
    Academic press:
    Calculus of Variations and Partial Differential Equations (rok: 2023, tom: 62:151 (online), strony: 62:151 (online)), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00526-023-02458-x - link to the publication

O Narodowym Centrum Nauki

Finansowanie nauki

Współpraca zagraniczna

Centrum prasowe

Deklaracja dostępności
Przetwarzanie danych osobowych
Polityka cookies

Partnerzy