Pekka Koskela

Research Interests

Selected publications

J.Heinonen and P.Koskela, ``Definitions of quasiconformality,'' Invent. Math. 120 (1995), 61--79.

P.Hajlasz and P.Koskela, ``Sobolev meets Poincare,'' C. R. Acad. Sci. Paris 320 (1995), 1211--1215.

J.Heinonen and P.Koskela, ``Quasiconformal maps in metric spaces with controlled geometry,'' Acta Math. 181 (1998), 1--61.

P.Hajlasz and P.Koskela, ``Sobolev met Poincare,'' Mem. Amer. Math. Soc. 145 (2000), no. 688, 101 pp.

T.Iwaniec, P.Koskela and J.Onninen, ``Mappings of finite distortion: Monotonicity and continuity,'' Invent. Math. 144 (2001), no. 3, 507--531.

P.Hajlasz and P.Koskela, Formation of cracks under elastic deformations,'' Calc. Var. 19 (2004), 221--227.

S.Hencl and P.Koskela, ``The regularity of the inverse of a planar Sobolev homeomorphism,'' Arch. Ration. Mech. Anal. 180 (2006), 75--95.

Z.Balogh, P.Koskela and S.Rogovin, ``Absolute continuity of quasiconformal mappings on curves,'' Geom. Funct. Anal. 17 (2007), 645--664.

S.Hencl, P.Koskela and J.Onninen ,``Homeomorphisms of bounded variation,'' Arch. Ration. Mech. Anal. 186 (2007), 351--360.

P.Hajlasz, P.Koskela and H.Tuominen, ``Sobolev embeddings, extensions and measure density condition,'' J. Funct. Anal. 254 (2008), 1217--1234.

P.Koskela, D.Yang and Y.Zhou, ``Pointwise characterizations of Besov and Triebel-Lizorkin spaces and quasiconformal mappings,'' Adv. Math. 226 (2011), 3579--3621.

R.Jiang and P.Koskela, ``Isoperimetric inequality from the Poisson equation via curvature,'' Comm. Pure Appl. Math. 65 (2012), 1145--1168.

P.Koskela and Y.Zhou, ``Geometry and analysis of Dirichlet forms,'' Adv. Math. 231 (2012), 2755--2801.

A.Kauranen and P.Koskela, ``Boundary blow-up under Sobolev mappings,'' Anal. PDE 7 (2014), 1839--1850.

P.Koskela and Y.R.-Y.Zhang, ``A density problem for Sobolev spaces on planar domains,'' Arch. Ration. Mech. Anal. 222 (2016), 1--14.

T.Coulhon, J.Renjin, P.Koskela and A.Sikora, ``Gradient estimates for heat kernels and harmonic functions,'' J. Funct. Anal. 278 (2020), 108398, 67 pp.

List of publications

Lectures on quasiconformal and quasisymmetric mappings

Editorial