INTEGRAL-OPERATORS ON WEIGHTED AMALGAMS

被引：25

作者：

CARTONLEBRUN, C

HEINIG, HP

HOFMANN, SC

机构：

[1] WRIGHT STATE UNIV,DEPT MATH & STAT,DAYTON,OH 45435

[2] MCMASTER UNIV,DEPT MATH & STAT,HAMILTON L8S 4K1,ONTARIO,CANADA

来源：

STUDIA MATHEMATICA | 1994年 / 109卷 / 02期

关键词：

AMALGAM SPACES; WEIGHTS; A(P) WEIGHTS; HARDY OPERATOR; HARDY-LITTLEWOOD MAXIMAL OPERATOR; WEIGHTED AMALGAM INEQUALITIES;

D O I：

10.4064/sm-109-2-133-157

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For large classes of indices, we characterize the weights u, upsilon for which the Hardy operator is bounded from l(qBAR)(L(upsilon)pBAR) into l(q)(L(u)p). For more general operators of Hardy type, norm inequalities are proved which extend to weighted amalgams known estimates in weighted L(p)-spaces. Amalgams of the form l(q)(L(w)p), 1 < p,q < infinity, q not-equal p, w is-an-element-of A(p), are also considered and sufficient conditions for the boundedness of the Hardy-Littlewood maximal operator and local maximal operator in these spaces are obtained.

引用

页码：133 / 157

页数：25