Geometric and dyadic harmonic analysis: general measures and rectifiability

Projekt: Forskningsprojekt

Projektinformation

Beskrivning (abstrakt)

The project "Geometric and dyadic harmonic analysis: general measures and rectifiability" studies geometric notions, like rectifiability, and analytic objects, like singular integrals. This is a five-year Academy Research Fellow project in mathematics at the University of Helsinki. The unified theme between the geometric and analytic fronts is the usage of general measures. This so called non-homogeneous analysis has been an active topic since the breakthroughs in the early 2000. However, in the specific area of rectifiability this is a new trend. The studied research problems are related to these new non-homogeneous rectifiability results. Also other related geometric problems are studied, especially their connection to the analytic part i.e. to the singular integral theory. The boundedness theory of singular integrals is developed as an independent subject, too. The research problems are of high international interest.
StatusSlutfört
Gällande start-/slutdatum01/09/201631/08/2021

Finansiering

  • SUOMEN AKATEMIA: 434 485,00 €
  • SUOMEN AKATEMIA: 140 000,00 €
  • SUOMEN AKATEMIA: 204 485,77 €

Vetenskapsgrenar

  • 111 Matematik
  • Finnish Mathematical Days 2020

    Henri Martikainen (Närvarande)

    2 jan. 20203 jan. 2020

    Aktivitet: Typer för deltagande i eller organisering av evenemangArrangemang av och deltagande i konferens/workshop/kurs/seminarium

  • Kangwei Li

    Henri Martikainen (Värd)

    6 jan. 202010 jan. 2020

    Aktivitet: Typer för att vara värd för en besökareAkademiskt besök på HU

  • Harmonic Analysis and PDEs

    Henri Martikainen (Ordförande i organisationskommitté), Mihalis Mourgoglou (Medlem i organisationskommitté) & Francesco Di Plinio (Medlem i organisationskommitté)

    3 juni 20197 juni 2019

    Aktivitet: Typer för deltagande i eller organisering av evenemangArrangemang av och deltagande i konferens/workshop/kurs/seminarium