IMI Interdisciplinary Mathematics InstituteCollege of Arts and Sciences

Envelopes in function spaces

  • March 21, 2006
  • 3:30 p.m.
  • LeConte 405

Abstract

The recently introduced concept of growth envelopes characterises the unboundedness of functions in spaces of Sobolev or Besov type by its non-increasing rearrangement. Similarly one can focus on questions of (Lipschitz) continuity using the (classical) modulus of continuity, this leads to continuity envelopes. We explain basic ideas, present some recent results -- including also spaces defined on fractal h-sets -- and give applications in the context of limiting embeddings or asymptotic estimates for approximation numbers.

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