Publications and preprints

Publications

Remarks on localized sharp functions on certain sets in R^n
 Jacek Dziubański and Agnieszka Hejna, Monatsh Math (2018)
| Published version|
Harmonic functions, conjugate harmonic functions and the Hardy space H^1 in the rational Dunkl setting
 Jean-Phillipe Anker, Jacek Dziubański, Agnieszka Hejna, Journal of Fourier Analysis and Applications volume 25, pages 2356–2418
| Published version | arXiv version |
Hörmander’s multiplier theorem for the Dunkl transform
 Jacek Dziubański and Agnieszka Hejna, Journal of Functional Analysis 277 (2019), 2133-2159
| Published version | arXiv version |
Remark on atomic decompositions for Hardy space H^1 in the rational Dunkl setting
 Jacek Dziubański and Agnieszka Hejna, Studia Mathematica 251 (2020), 89-110, 89-100
| Published version | arXiv version |
Hardy spaces for the Dunkl harmonic oscillator
 Agnieszka Hejna, Math. Nachr.,293(11), 2112–2139
| Published version | arXiv version |
Schrödinger operators with reverse Hölder class potentials in the Dunkl setting and their Hardy spaces
 Agnieszka Hejna, Journal of Fourier Analysis and Applications (2021)
| Published version | arXiv version |
Upper and lower bounds for Littlewood-Paley square functions in the Dunkl setting.
 Jacek Dziubański and Agnieszka Hejna, accepted in Studia Mathematica
| arXiv version |
On semigroups generated by sums of even powers of Dunkl operators.
 Jacek Dziubański and Agnieszka Hejna, Integral Equations and Operator Theory (2021)
| Published version | arXiv version |
Singular integrals in the rational Dunkl setting
Jacek Dziubański and Agnieszka Hejna, Revista Matemática Complutense (2021)
| Published version | arXiv version |
Behavior of eigenvalues of certain Schrödinger operators in the rational Dunkl setting
 Agnieszka Hejna, Analysis and Mathematical Physics
| Published version|arXiv version |

Theses

Harmonic analysis and Hardy spaces in the rational Dunkl setting
 Agnieszka Hejna (advisor prof. Jacek Dziubański), PhD thesis
O zlokalizowanych sharp funkcjach
 Agnieszka Hejna (advisor prof. Jacek Dziubański), Master's thesis
| Pdf file (in Polish)|

About me

Employment

  • University of Wrocław
    Assistant professor, 2021-...

Education

  • University of Wrocław
    PhD Studies, Mathematics, 2017-2021
  • University of Wrocław
    Master's degree, Mathematics, 2015-2017.
    Specialty: theoretical mathematics.
    Advisor: Jacek Dziubański, Full Professor.
    Thesis topic: "On localized sharp functions".
  • University of Wrocław
    Bachelor's degree, Mathematics, 2012-2015.
    Specialty: theoretical mathematics.
  • University of Wrocław
    Bachelor's degree, Computer Science, 2012-2015.

Seminar talks

  • Harmonic analysis in the rational Dunkl setting, Ghent Methusalem Junior Seminar (online), 14.09.2021 (www)
  • Harmonic analysis in the rational Dunkl setting, Research seminar "Geometric Analysis and Number Theory" (online), 6.07.2021 (www)
  • Harmonic analysis in the rational Dunkl setting, Virtual Seminar of Polish Association for Women in Mathematics (online), 11.05.2021 (www)
  • Harmonic analysis and Hörmander's multiplier theorem in the rational Dunkl setting, Analysis and Probability Research Group, India (online), 31.03.2021 (www)
  • Fefferman-Phong inequality and its applications in the rational Dunkl setting, Analiza harmoniczna i rozwinięcia ortogonalne, Wrocław, Poland, 26.02.2020 and 4.03.2020 (www)
  • Singular integrals in the rational Dunkl setting, Analiza harmoniczna i rozwinięcia ortogonalne, Wrocław, Poland, 16.10.2019 (www)
  • Dunkl theory and Hörmander's multiplier theorem in the rational Dunkl setting, , Seminario di Matematica, Pisa, Italy, 9.04.2019 (www)
  • Hörmander's multiplier theorem for the Dunkl transform, Functional Analysis seminar, Wrocław, Poland, 29.11.2018 (www)
  • Hörmander's multiplier theorem for the Dunkl transform, Analiza harmoniczna i rozwinięcia ortogonalne, Wrocław, Poland, 10.10.2018 and 17.10.2018 (www)
  • Hardy spaces in the rational Dunkl setting, Analiza harmoniczna i rozwinięcia ortogonalne, Wrocław, Poland, 29.05.2018 (www)
  • Dunkl operators: heat kernel estimates and applications, Theory of Markov Semigroups and Schrödinger Operators, Wrocław, Poland, 18.05.2018 (www)
  • Hardy spaces in the rational Dunkl setting, Functional Analysis seminar, Wrocław, Poland, 26.04.2018 (www)
  • Remarks on localizated sharp functions on certain sets in Rn, Oberseminar Harmonic Analysis, Kiel, Germany, 19.04.2018 (www)
  • Remarks on localizated sharp functions on certain sets in Rn, Analiza harmoniczna i rozwinięcia ortogonalne, Wrocław, Poland, 22.03.2017 (www)
  • Remarks on localizated sharp functions on certain sets in Rn, Functional Analysis seminar, Wrocław, Poland, 23.02.2017 (www)

Conference talks

  • Dunkl-Schrödinger operators with reverse Hölder class potentials in the Dunkl setting, Modern Analysis Related to Root Systems with Applications, (www), Luminy, France, 2021.
  • Analiza harmoniczna i twierdzenie mnożnikowe H\"ormandera w kontekście dunklowskim, Mini-conference PTM (online) (www), online 2021.
  • On semigroups associated with Dunkl operators, Jubileuszowy Zjazd Matematyków Polskich w stulecie PTM, (www), Kraków, Poland, 2019.
  • On semigroups associated with Dunkl operators, Probability and Analysis 2019, (www),Będlewo, Poland 2019 (slides).
  • Harmonic analysis in the rational Dunkl setting, Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society (www), Wrocław, Poland 2018.
  • Remarks on localizated sharp functions on certain sets in Rn,Probabilistic Aspects of Harmonic Analysis in honor of Professor Ewa Damek (www), Będlewo, Poland 2018.

Organizing activities

  • Organizing Committee Member, Probabilistic Aspects of Harmonic Analysis in honor of Professor Ewa Damek (www), Będlewo, Poland 2018.
  • Organizing Committee Member, Analysis and Applications in honor of Professor Elias M. Stein (www), Wrocław, Poland 2017.

Grants

  • Grant NCN 2017/25/B/ST1/00599, Harmonic analysis related to differential, difference and differential-difference operators (principal investigator M. Preisner).
  • Grant NCN 2018/31/B/ST1/00204, Continuous and discrete perspectives in harmonic analysis (principal investigator B. Wróbel).

Awards

  • Special Award of Polish Association for Women in Mathematics in Edyta Szymańska Competion (www)
  • Award of the Polish Mathematical Society for Young Mathematicians (www)
  • First prize in the student competition "Krok w przyszłość" organized by mBank (www)
  • Second prize in the J. Marcinkiewicz Competition for the best Master’s thesis in Mathematics (www)
  • Best Master’s Thesis of the year, Marshal’s of Lower Silesia Award (www)
  • Finalist of Polish Mathematical Olympiad (www)

Conferences

  • Modern Analysis Related to Root Systems with Applications, (www), Luminy, France, 2021.
  • Jubileuszowy Zjazd Matematyków Polskich w stulecie PTM (www), Kraków, Poland, 2019.
  • 4th BCAM-UPV/EHU summer school on harmonic analysis and PDEs: Restriction theory (www), Bilbao, Spain, 2019 (certificate of attendance).
  • Probability and Analysis 2019 (www), Będlewo, Poland 2019.
  • Joint meeting of the Italian Mathematical Union, the Italian Society of Industrial and Applied Mathematics and the Polish Mathematical Society (www), Wrocław, Poland, 2018.
  • INdAM meeting Geometric Aspects of Harmonic Analysis a conference on the occasion of Fulvio Ricci’s 70th birthday (www), Cortona, Italy, Cortona, Italy, 2018.
  • Probabilistic Aspects of Harmonic Analysis in honor of Professor Ewa Damek (www), Będlewo, Poland 2018.
  • Analysis and Applications in honor of Professor Elias M. Stein (www), Wrocław, Poland 2017.
  • Workshop Harmonic analysis and its interactions: in honour of Tony Carbery (www), Edinburgh, Great Britain 2017.
  • Probability and Analysis (www), Będlewo, Poland 2017.
  • Probabilistic Aspects of Harmonic Analysis (www), Będlewo, Poland 2016.

    • Minor conferences, workshops, schools and other

    • "Algebra vincit omnia" - obóz letni KNMT, Pisary, Poland, 2019. I have given a mini course on Fourier analysis during this summer school (certificate).
    • Per algebra ad astra - letnia szkoła KNMT, Pisary, Poland, 2018.
    • V School of Analysis in memory of A. Pełczyński (www), Będlewo, Poland 2017.
    • XI Zimowa Szkoła Matematyki KNMT, Będlewo, Poland 2016.
    • Toruńska Letnia Szkoła Matematyki (www), Toruń, Poland 2016.
    • Ogólnopolska Matematyczna Konferencja Studentów "OMatko!" (www), Wrocław, Poland 2016.
    • X Zimowa Szkoła Matematyki KNMT(www), Będlewo, Poland 2015.
    • Horizons in Mathematics - WCMCS conference for students (www), Będlewo, Poland 2016.
    • 18th International Workshop for Young Mathematicians Algebraic and Differential Topology,(www), Kraków, Poland 2015.
    • Małe Ciche Niskowymiarowe Tatra conference in Low-dimensional topology(www), Małe Ciche, Poland 2015.
    • Letnia Szkoła Matematyki(www), Lądek Zdrój, Poland 2015.
    • Horizons in Mathematics - WCMCS conference for students (www), Będlewo, Poland 2015.
    • Ogólnopolska Matematyczna Konferencja Studentów "OMatko!" (www), Wrocław, Poland 2015.
    • IX Zimowa Szkoła Matematyki KNMT(www), Będlewo, Poland 2014.

Teaching

Materiały od zajęć oraz ogłoszenia znajdziecie Państwo w odpowiednich zespołach MS Teams.

Konsultacje

Poniedziałki 16-18, IM, pokój 10.3.

W razie chęci umówienia się na konsultacje proszę o kontakt mailowy lub na MS Teams - wspólnie ustalimy dogodny termin (preferuję terminy wieczorne). W prośbie o konsultacje proszę napisać jakiego przedmiotu konsultacje mają dotyczyć i (o ile to możliwe) dołączyć zadania, o które chcecie Państwo zapytać.

Prace dyplomowe

Chętnych do pisania prac licencjackich i magisterskich pod moją opieką z szeroko pojętej analizy zapraszam do kontaktu ze mną (najlepiej mailowo).