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PP* estimates for the truncated Carleson operator

✍ Scribed by Elena Prestini, Silei Wang

Book ID: 118788525
Publisher: Springer Vienna
Year: 2012
Tongue: English
Weight: 151 KB
Volume: 167
Category: Article
ISSN: 0026-9255
DOI: 10.1007/s00605-012-0386-9

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## Abstract Let be the one‐dimensional Hardy averaging operator. It is well‐known that __A__ is bounded on __L^p^__ whenever 1 < __p__ ≤ ∞. We improve this result in the following sense: we introduce a pair of new function spaces, the ‘source’ space __S~p~__, which is strictly larger than __L^p^__