Maximal Operators Associated with Vector Polynomials of Lacunary Coefficients

被引：4
|
作者：
Hong, Sunggeum [1 ]
Kim, Joonil [2 ]
Yang, Chan Woo [3 ]
机构：
[1] Chosun Univ, Dept Math, Kwangju 501759, South Korea
[2] Yonsei Univ, Dept Math, Seoul 120749, South Korea
[3] Korea Univ, Dept Math, Seoul 136701, South Korea
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2009年 / 61卷 / 04期
关键词：
DIRECTIONS; DIFFERENTIATION;
D O I：
10.4153/CJM-2009-043-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove the L(p)(R(d)) (1 < p <= infinity) boundedness of the maximal operators associated with a family of vector polynomials given by the form {(2(k1)p(1) (t),..., 2(kd)p(d)(t)) : t is an element of 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 2(k).
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页码：807 / 827
页数：21
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