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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 248 - Analysis
Joseph Cima
UNC, Chapel Hill
A generalization of the Cesaro integral operator to Hardy $(H^p )$ spaces
Abstract:
We introduce the Cesaro operator and trace its history. We define a generalization of this operator to all Hardy spaces $H^{p}$ (disc). We discuss the boundedness and compactness of such operators. We improve a result of Hardy and Littlewood on primitives of $H^{P}$ functions. One can compute the essential spectrum of a subspace of these operators .
Host: Peter Ebenfelt
November 25, 2003
9:30 AM
AP&M 6218
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