Document Type
Lecture
Publication Date
3-24-2010
Abstract
For each 1≤p<∞, the classical Cesàro operator CCC from the Hardy space Hp to itself has the property that there exist analytic functions fÏHp with C(f)ÎHp. We discuss the Banach space CHp consisting of all analytic functions that C maps into Hp. It is shown that CHp contains classical Banach spaces X of analytic functions, genuinely larger than Hp, such that the operator C has a continuous Hp-valued extension to X. An important feature of CHp is that it is the largest among all such spaces X.
Relational Format
presentation
Recommended Citation
Curbera, Guillermo, "Extensions of the classical Cesàro operator on Hardy spaces" (2010). Analysis Seminar. 23.
https://egrove.olemiss.edu/math_analysis/23
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