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).

引用

页码：807 / 827

页数：21

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