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On some pointwise
inequalities concerning tent spaces and sharp maximal
functions
Andrei K. Lerner |
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Vol. 209 (2003), No. 2, 303–318
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Abstract |
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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. |
Milestones
Received: 24 December 2001
Revised: 27 January 2002
Published: 1 April 2003
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Authors |
| Andrei K. Lerner | |
| Department of Mathematics Bar-Ilan University 52900 Ramat Gan Israel |
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