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Mathematics
Finland
2026

D-Index & Metrics

Mathematics

D-Index
53
Citations
11630
World Ranking
896
National Ranking
4

Research.com Recognitions

  • 2026 - Research.com Mathematics in Finland Leader Award
  • 2025 - Research.com Mathematics in Finland Leader Award
  • 2023 - Research.com Mathematics in Finland Leader Award

Overview

Pekka Koskela is affiliated with the University of Jyväskylä in Finland and specializes in mathematics with a focus on applied mathematics, geometry and topology, and computational theory and mathematics. Their research spans several intricate areas within the mathematical sciences, examining nonlinear partial differential equations, analytic and geometric function theory, and advanced mathematical modeling in engineering.

Koskela's recent publications illustrate a concentration on Sobolev spaces and extension domains. Notable papers include:

  • A geometric characterization of planar Sobolev extension domains, 2025, Science China Mathematics
  • The volume of the boundary of a Sobolev (p,q)-extension domain, 2022, Journal of Functional Analysis
  • Existence and uniqueness of limits at infinity for homogeneous Sobolev functions, 2023, Journal of Functional Analysis
  • Sobolev Extensions Via Reflections, 2022, Journal of Mathematical Sciences

The most frequent venues for Koskela's publications include a mix of journals and preprint archives, reflecting interdisciplinary reach and ongoing contributions to mathematical research. Key publication venues are:

  • arXiv (Cornell University)
  • Computational Methods and Function Theory
  • Journal of Functional Analysis
  • Journal of Mathematical Sciences
  • Journal of Geometric Analysis

Research topics extensively covered by Koskela involve areas such as:

  • Nonlinear Partial Differential Equations
  • Analytic and geometric function theory
  • Advanced Mathematical Modeling in Engineering
  • Advanced Harmonic Analysis Research
  • Geometric Analysis and Curvature Flows
  • Holomorphic and Operator Theory
  • Advanced Mathematical Physics Problems

Koskela frequently collaborates with several researchers, including:

  • Zheng Zhu
  • D. S. Lubinsky
  • Khanh Ngoc Nguyen
  • Khanh Nguyen
  • Riddhi Mishra

The scientist's work integrates theoretical and applied dimensions of mathematical analysis, exploring subtle geometric properties and functional conditions in Sobolev spaces. The focus on boundary behaviors, extensions, and limits in multiple recent papers contributes to the evolving understanding of analytic structures in modern mathematics.

Best Publications

  • Sobolev met Poincaré

    Piotr Hajłasz;Pekka Koskela

  • Quasiconformal maps in metric spaces with controlled geometry

    Juha Heinonen;Pekka Koskela

  • Sobolev Spaces on Metric Measure Spaces: An Approach Based on Upper Gradients

    Juha Heinonen;Pekka Koskela;Nageswari Shanmugalingam;Jeremy T. Tyson

  • GEOMETRIC FUNCTION THEORY AND NON-LINEAR ANALYSIS (Oxford Mathematical Monographs)

    Pekka Koskela

  • Quasiconformal mappings and Sobolev spaces

    Pekka Koskela;Paul MacManus

  • Uniformizing Gromov Hyperbolic Spaces

    Mario Bonk;Juha Heinonen;Pekka Koskela

  • Lectures on Mappings of Finite Distortion

    Stanislav Hencl;Pekka Koskela

  • Sobolev classes of Banach space-valued functions and quasiconformal mappings

    Juha Heinonen;Pekka Koskela;Nageswari Shanmugalingam;Jeremy T. Tyson

  • Mappings of finite distortion: Monotonicity and continuity

    Tadeusz Iwaniec;Pekka Koskela;Jani Onninen

  • Sobolev meets Poincaré

    P. Hajłasz;P. Koskela

  • DEFINITIONS OF SOBOLEV CLASSES ON METRIC SPACES

    Bruno Franchi;Piotr Hajłasz;Pekka Koskela

  • Pointwise characterizations of Besov and Triebel–Lizorkin spaces and quasiconformal mappings

    Pekka Koskela;Dachun Yang;Yuan Zhou

  • Definitions of quasiconformality

    Juha Heinonen;Pekka Koskela

  • Regularity of the Inverse of a Planar Sobolev Homeomorphism

    Stanislav Hencl;Pekka Koskela

  • Sobolev embeddings, extensions and measure density condition

    Piotr Hajłasz;Pekka Koskela;Heli Tuominen

  • Mappings of BMO–bounded distortion

    Kari Astala;Tadeusz Iwaniec;Pekka Koskela;Gaven Martin

  • On functions with derivatives in a Lorentz space

    Janne Kauhanen;Pekka Koskela;Jan Malý

  • Sobolev mappings with integrable dilatations

    Juha Heinonen;Pekka Koskela

  • Pointwise characterizations of Hardy-Sobolev functions

    Pekka Koskela;Eero Saksman

  • Global integrability of the gradients of solutions to partial differential equations

    T. Kilpeläinen;P. Koskela

Frequent Co-Authors

Nageswari Shanmugalingam
Nageswari Shanmugalingam University of Cincinnati
Dachun Yang
Dachun Yang Beijing Normal University
Eero Saksman
Eero Saksman University of Helsinki
Tadeusz Iwaniec
Tadeusz Iwaniec Syracuse University
Thierry Coulhon
Thierry Coulhon PSL University
Olli Martio
Olli Martio University of Helsinki
Guozhen Lu
Guozhen Lu University of Connecticut

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