TY - JOUR
T1 - On some pointwise inequalities concerning tent spaces and sharp maximal functions
AU - Lerner, Andrei K.
PY - 2003/4
Y1 - 2003/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0038457455&partnerID=8YFLogxK
U2 - 10.2140/pjm.2003.209.303
DO - 10.2140/pjm.2003.209.303
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AN - SCOPUS:0038457455
SN - 0030-8730
VL - 209
SP - 303
EP - 318
JO - Pacific Journal of Mathematics
JF - Pacific Journal of Mathematics
IS - 2
ER -