Embeddings of Muntz Spaces: Composition Operators

被引：2

作者：

Noor, S. Waleed ^{[1
]}

机构：

[1] Abdus Salam Sch Math Sci, Lahore, Pakistan

来源：

INTEGRAL EQUATIONS AND OPERATOR THEORY | 2012年 / 73卷 / 04期

关键词：

Muntz space; embedding measure; lacunary sequence; Schatten-von Neumann classes; composition operators;

D O I：

10.1007/s00020-012-1965-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a strictly increasing sequence of nonnegative real numbers, with , the Muntz spaces are defined as the closure in L (p) ([0, 1]) of the monomials . We discuss how properties of the embedding , where mu is a finite positive Borel measure on the interval [0, 1], have immediate consequences for composition operators on . We give criteria for composition operators to be bounded, compact, or to belong to the Schatten-von Neumann ideals.

引用

页码：589 / 602

页数：14

共 8 条

[1]

AL ALAM I., 2008, THESIS U LILLE 1, V1

[2] Essential norms of weighted composition operators on Muntz spaces [J].