Non-smooth atomic decompositions in function spaces and applications
 
 
Description: 

We provide non-smooth atomic decompositions for Besov spaces \Bd(\rn), s>0, 0<p,q\leq \infty, defined via differences, with the help of a homogeneity property.

The results are used to compute the trace of Besov spaces on the boundary \Gamma of bounded Lipschitz domains \Omega with smoothness s restricted to 0<s<1 and no further restrictions on the parameters p,q. We conclude with some more applications in terms of pointwise multipliers.

Date:  2012-03-30
Start Time:   14:30
Speaker:  Cornelia Schneider (Univ. Erlangen-Nuremberg, Germany)
Institution:  University Erlangen-Nuremberg, Germany
Place:  Sala 5.5
Research Groups: -Analysis
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