EMBEDDINGS BETWEEN OPERATOR-VALUED DYADIC BMO SPACES

被引：7

作者：

Blasco, Oscar ^{[1
]}

Pott, Sandra ^{[2
]}

机构：

[1] Univ Valencia, Dept Math, E-46100 Valencia, Spain

[2] Univ Glasgow, Dept Math, Glasgow G12 8QW, Lanark, Scotland

来源：

ILLINOIS JOURNAL OF MATHEMATICS | 2008年 / 52卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1215/ijm/1254403715

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate a scale of dyadic operator-valued BMO spaces, corresponding to the different yet equivalent characterizations of dyadic BMO in the scalar case. In the language of operator spaces, we investigate different operator space structures on the scalar dyadic BMO space which arise naturally from the different characterizations of scalar BMO. We also give sharp dimensional growth estimates for the sweep of functions and its bilinear extension in some of those different dyadic BMO spaces.

引用

页码：799 / 814

页数：16

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