Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2007; 22(4): 493-502

Printed December 1, 2007

Copyright © The Korean Mathematical Society.

Some estimates of Littlewood-Paley type operators in arithmetic

Yong-Cheol Kim

Korea University

Abstract

We prove that certain square functions of Littlewood-Paley type satisfy certain mapping properties on $L^q({\mathbb Q}_p^d)$.

Keywords: Lilltlewood-Paley operators, $p$-adic vector space, Haar measure

MSC numbers: 11S80, 11K70, 11E95