On the HP-LP-boundedness of some integral operators

被引：7
|
作者：
Rocha, Pablo [1 ]
Urciuolo, Marta [1 ]
机构：
[1] Univ Nacl Cordoba Conicet, FAMAF Ciem, RA-5000 Cordoba, Argentina
来源：
GEORGIAN MATHEMATICAL JOURNAL | 2011年 / 18卷 / 04期
关键词：
Integral operators; Hardy spaces;
D O I：
10.1515/GMJ.2011.0043
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we obtain the H-P(R-n) -> L-P(R-n) boundedness, 0 < p <= 1, of integral operators of the form Tf(x) = integral vertical bar x - a(1)y vertical bar(-alpha 1) . . . vertical bar x - a(m)y vertical bar(-alpha m) f(y)dy, alpha(1) + . . . + alpha(m) = n and a(i) is an element of R \ {0}, a(j) not equal a(j) for i not equal j, l <= i, j <= m. We also show that these operators are not bounded on H-p (R).
引用
收藏
页码：801 / 808
页数：8
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