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Representation theorems and atomic decompositions of Besov spaces. (English) Zbl 0639.46037

From author’s introduction: “The aim of this note is to extend some recent results of F. Ricci and M. Taibleson [Ann. Scuola Norm. Sup. Pisa, Cl. Sci., IV. Ser. 1-54 (1983; Zbl 0527.30040)] from the one-dimensional case to the general n-dimensional case. Instead of harmonic functions, we study temperatures on a half space, but our method works also for the harmonic function case. However, our main interest concerns not the space of temperatures (or harmonic functions) but their boundary values in the sense of distributions, which characterize a homogeneous Besov space.”
Reviewer: O.John

MSC:

46E35 Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Citations:

Zbl 0527.30040
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References:

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