Triangulations of closed sets and bases in function spaces.
Brownian motion on fractals and function spaces.
Wavelets on Fractals and Besov Spaces.
Besov spaces on surfaces with singularities.
Hölder continuous functions on compact sets and functions spaces
The dual of Besov spaces on fractals
A Whitney extension theorem in and Besov spaces
The classical Whitney extension theorem states that every function in Lip, , closed, , a non-negative integer, can be extended to a function in Lip. Her Lip stands for the class of functions which on have continuous partial derivatives up to order satisfying certain Lipschitz conditions in the supremum norm. We formulate and prove a similar theorem in the -norm. The restrictions to , , of the Bessel potential spaces in and the Besov or generalized Lipschitz spaces in...
Hardy and Lipschitz spaces on subsets of
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