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1. 1. Generalized integration operators on Hardy spaces

   University essay from Lunds universitet/Matematik (naturvetenskapliga fakulteten)

   Author : Nikolaos Chalmoukis; [2017]
   Keywords : Cesaro operator; Hardy spaces; Integration operators; Operator theory; Complex analysis; Mathematics and Statistics;

   Abstract : Inspired by the study of generalized Cesaro operator T_g introduced by Aleman and Siskakis we study a variation of this operator,namely P(g,a) , depending on an analytic symbol g and an n - tuple of complex numbers, a . Regarding the boundedness properties of this operator we prove that P(g,a) is a bounded linear operator from H^p to itself if and only if g is an analytic function of bounded mean oscillation and compact if and only if g is of vanishing mean oscillation. READ MORE