Modified Carleson Measures

Part of the Lecture Notes in Mathematics book series (LNM, volume 1767)


In this chapter, we show that Q p can be equivalently characterized by means of a modified Carleson measure. In the subsequent three sections, this geometric characterization is used to compare Q p with the class of mean Lipschitz functions as well as the Besov space (as one of representatives of the conformally invariant classes of holomorphic functions), and to discuss the mean growth of the derivatives of functions in Q p.


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© Springer-Verlag Berlin Heidelberg 2001

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