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Fractal analysis from the viewpoint of function spaces. (Fraktale Analysis aus der Sicht der Funktionenräume.) (German) Zbl 1030.46042

This is a very scholarly written survey on the development of fractal analysis in the last decade or so. Special emphasis is given to relations with function spaces.

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems
42B35 Function spaces arising in harmonic analysis
28A80 Fractals
42C40 Nontrigonometric harmonic analysis involving wavelets and other special systems
43A85 Harmonic analysis on homogeneous spaces