Document Type
Article
Version
Publisher's PDF
Publication Title
Proceedings of the American Mathematical Society
Volume
135
Publication Date
2007
Abstract
We prove that, for a compactly supported L-q function Phi with vanishing integral on Rn, the corresponding square function operator SF is bounded on L-p for vertical bar 1/p - 1/2 vertical bar < min{(q-1)/2, 1/2}.
Publisher's Statement
First published in Proceedings of the American Mathematical Society in 2007, published by the American Mathematical Society.
Citation
Cheng, Leslie C. "On Littlewood-Paley Functions." Proc. Amer. Math. Soc. 135 (2007): 3241-3247.
DOI
10.1090/S0002-9939-07-08917-4