Geometric and dyadic harmonic analysis: general measures and rectifiability

Project Details

Description (abstract)

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.
StatusFinished
Effective start/end date01/09/201631/08/2021

Funding

  • SUOMEN AKATEMIA

Fields of Science

  • 111 Mathematics
  • Finnish Mathematical Days 2020

    Henri Martikainen (Attendee)

    2 Jan 20203 Jan 2020

    Activity: Participating in or organising an event typesOrganisation and participation in conferences, workshops, courses, seminars

  • Kangwei Li

    Henri Martikainen (Host)

    6 Jan 202010 Jan 2020

    Activity: Hosting a visitor typesAcademic visit at UH

  • Harmonic Analysis and PDEs

    Henri Martikainen (Chair of organizing committee), Mihalis Mourgoglou (Member of organizing committee) & Francesco Di Plinio (Member of organizing committee)

    3 Jun 20197 Jun 2019

    Activity: Participating in or organising an event typesOrganisation and participation in conferences, workshops, courses, seminars