TY - JOUR
T1 - Maximal operators associated with vector polynomials of lacunary coefficients
AU - Hong, Sunggeum
AU - Kim, Joonil
AU - Yang, Chan Woo
N1 - Copyright:
Copyright 2009 Elsevier B.V., All rights reserved.
PY - 2009/8
Y1 - 2009/8
N2 - We prove the Lp(,Rd) (1 < p< ∞) boundedness of the maximal operators associated with a family of vector polynomials given by the form {(2K1 P1(t)., 2Kd'pd(f)) : t σ R}. Furthermore, by using the lifting argument, we extend this result to a general class of vector polynomials whose coefficients are of the form constant times 2K.
AB - We prove the Lp(,Rd) (1 < p< ∞) boundedness of the maximal operators associated with a family of vector polynomials given by the form {(2K1 P1(t)., 2Kd'pd(f)) : t σ R}. Furthermore, by using the lifting argument, we extend this result to a general class of vector polynomials whose coefficients are of the form constant times 2K.
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U2 - 10.4153/CJM-2009-043-3
DO - 10.4153/CJM-2009-043-3
M3 - Article
AN - SCOPUS:68849108117
VL - 61
SP - 807
EP - 827
JO - Canadian Journal of Mathematics
JF - Canadian Journal of Mathematics
SN - 0008-414X
IS - 4
ER -