TY - JOUR
T1 - On the L2 boundedness of parametric Marcinkiewicz integral operator
AU - Al-Salman, Ahmad
PY - 2011/3/15
Y1 - 2011/3/15
N2 - In this paper, we derive a multiplier formula for Hörmander's parametric Marcinkiewicz integral operator. As a consequence, we prove the optimality of the kernel size condition L(logL)1/2(Sn-1) as well as the optimality of the Block size condition.
AB - In this paper, we derive a multiplier formula for Hörmander's parametric Marcinkiewicz integral operator. As a consequence, we prove the optimality of the kernel size condition L(logL)1/2(Sn-1) as well as the optimality of the Block size condition.
KW - Block spaces
KW - Marcinkiewicz integrals
KW - Parametric Marcinkiewicz integrals
KW - Singular integrals
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U2 - 10.1016/j.jmaa.2010.09.062
DO - 10.1016/j.jmaa.2010.09.062
M3 - Article
AN - SCOPUS:78149409829
SN - 0022-247X
VL - 375
SP - 745
EP - 752
JO - Journal of Mathematical Analysis and Applications
JF - Journal of Mathematical Analysis and Applications
IS - 2
ER -