Department of Mathematics and Systems Analysis

Research

FiRST COCOA* workshop on

Schatten meets Sobolev: commutators and friends

December 14-17, 2026

Aalto University, Finland

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*Supported by the Research Council of Finland through projects:

Description

Over the past few years, there have been interesting discoveries and interaction between surprising new characterizations of classical function spaces (e.g., by derivative-free and weak-type formulas), and mapping properties (including but not limited to Schatten class membership) of commutators, their complex-variable cousins: the Hankel operators, and other related objects. Motivated by both intrinsic interest and applications, these results often build on recent advances in commutative (dyadic representations, median techniques, …) and/or non-commutative (Schur multipliers, principal symbol mappings, …) analysis, where the two may offer alternative perspectives and/or combine their forces. Fostering exchange of ideas across borders, this workshop brings together researchers working in such distinct but interrelated directions. We hope to cover a spectrum of topics around characterizations of function spaces and mapping properties of commutators, ranging from tools to applications, and from reports of latest achievements to surveys of longer-term developments.

Invited speakers

The list of titles is being updated.
  • Fabrice Baudoin (Aarhus): Korevaar-Schoen and heat kernel characterizations of Sobolev and BV spaces on local trees
  • Li Chen (Aarhus)
  • José Conde-Alonso (Madrid)
  • Galia Dafni (Montreal)
  • Loredana Lanzani (Bologna): Herglotz for general domains
  • Henri Martikainen (St. Louis)
  • Bram Mesland (Leiden)
  • Hoai-Minh Nguyen (Paris)
  • Karl-Mikael Perfekt (Trondheim): Boundary-weighted Fourier inequalities for convex domains
  • Sandra Pott (Lund) 
  • Michael Ruzhansky (Ghent)
  • Fedor Sukochev (Sydney) (tentative)
  • Jean Van Schaftingen (Louvain) (tentative)
  • Francisco Villarroya (Santa Clara): The Schatten classes of Calderón-Zygmund operators
  • Dmitry Zanin (Changsha)
Note to invited speakers: We do not use external travel agents in the arrangement of your travel or accommodation. If you receive such offers, they are most likely fraud.

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