A note on Carleson sets and Carleson windows

Abstract

Let D be the open unit disk in the complex plane. In this note, for the Carleson set S(b,h) and the Carleson window W(b,h) which are particular subsets of D, we find conditions on h under which we have W(b,h/c)⊂ S(b,h)⊂ W(b,ch) for some c>1.

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