On some pointwise inequalities concerning tent spaces and sharp maximal functions

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Abstract

We consider an abstract analogue of Sλ#f, the truncated square function introduced by J.-O. Strömberg, and show that it is closely related to operators appearing in the theory of tent spaces. We suggest an approach to basic results for these spaces which differs from that due to R.R. Coifman, Y. Meyer and E.M. Stein. Also we discuss pointwise estimates involving Sλ#f as well as different variants of sharp maximal functions.

Original languageEnglish
Pages (from-to)303-318
Number of pages16
JournalPacific Journal of Mathematics
Volume209
Issue number2
DOIs
StatePublished - Apr 2003

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