My webpage has moved to http://www.helsinki.fi/~korte/.

Riikka Korte

• postdoctoral researcher

• Address:
  University of Helsinki,
  Department of Mathematics and statistics,
  P.O. Box 68,
  FIN-00014 Helsingin Yliopisto, Finland

• Visiting Address:
  Gustaf Hällströmin katu 2b, Helsinki
  Room B409

• E-mail: riikka.kortehelsinki.fi

Research papers

(A link to my papers in MathSciNet)

Keep in mind that some of the downloads of the following papers are earlier versions of the final articles and therefore may differ from the journal article.

• Equivalence and self-improvement of p-fatness and Hardy's inequality, and association with uniform perfectness, (with Nageswari Shanmugalingam). Math. Z. (to appear). Preprint.
• A Caccioppoli estimate and fine continuity for superminimizers on metric spaces. Ann. Acad. Sci. Fenn. Math. 33 (2008), 597--604. Preprint.
• Characterizations of Sobolev inequalities on metric spaces, (with Juha Kinnunen). J. Math. Anal. Appl., 334(2), 1093-1103, 2008. Preprint.

• Lebesgue points and capacities via the boxing inequality in metric spaces, (with Juha Kinnunen, Nageswari Shanmugalingam and Heli Tuominen), Indiana Univ. Math. J., 57(1), 401-430, 2008. Preprint.
• Geometric implications of the Poincaré inequality, Results Math., 50 (2007), no. 1-2, 93-107. Preprint.

Preprints

• A connection between a general class of superparabolic functions and supersolutions, (with Tuomo Kuusi and Mikko Parviainen). Submitted, 2008.
• Obstacle problem for nonlinear parabolic equations, (with Tuomo Kuusi and Juhana Siljander). Submitted, 2008.

Theses

• Geometric properties of metric measure spaces and Sobolev-type inequalities, PhD thesis, Helsinki University of Technology, 2008.
• Geometric implications of the Poincaré inequality, Licentiate's thesis, Helsinki University of Technology, 2006.
• Poincarén epäyhtälö metrisissä avaruuksissa, Master's thesis (in Finnish), Helsinki University of Technology, 2004.

Other

• Leikki metrisessä avaruudessa kannustaa luovuuteen, (with Outi Elina Maasalo), popular article, Arkhimedes 4/2008.

Teaching

• Basic course in Mathematics C3-II, fall 2008
• Analysis I, spring 2008
• Foundations of Modern Analysis, spring 2007

Links

• Spring school in harmonic analysis and PDE 2008
• Research group on Nonlinear PDEs in Helsinki and Oulu.
• Graduate School in Mathematical Analysis and Its Applications
• Analyysin lukupiiri
• Kuvia