Mathematics – Classical Analysis and ODEs
Scientific paper
2007-01-29
Illinois J. Math. 51 (2007), no. 4, 1249--1263
Mathematics
Classical Analysis and ODEs
11 pages, to appear in Illinois Journal of Mathematics
Scientific paper
In this note we present a new proof of the Carleson Embedding Theorem on the unit disc and unit ball. The only technical tool used in the proof of this fact is Green's formula. The starting point is that every Carleson measure gives rise to a bounded subharmonic function. Using this function we construct a new related Carleson measure that allows for a simple embedding. In the case of the disc this gives the best known constant, with the previous best given by N. Nikolskii.
Petermichl Stefanie
Treil Sergei
Wick Brett D.
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