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BMS-DMV LIEGE 2001
June 8-10, 2001
University of Liège
Liège, Belgium

Organizers
Klaus D. Bierstedt, J. Schmets

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Harmonic Analysis of the space BV
by
Albert Cohen
Laboratoire d'Analyse Numérique, Université Pierre et Marie Curie, Paris
Coauthors: Ingrid Daubechies, Wolfgang Dahmen, Ronald DeVore

We present new results on the space BV of function with bounded variation. While it is well known that this space admits no unconditional basis, we show that it is 'almost' characterized by wavelet expansions, through a class of weak-type estimates. These estimates have several consequences such as the identification of interpolation spaces between BV and Sobolev or Besov spaces, and application to the analysis of data compression and estimation algorithms in BV.

Date received: March 29, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafv-96.