Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Weight structure theorems and factorization of positive operators


Authors: Steven Bloom and Ron Kerman
Journal: Proc. Amer. Math. Soc. 113 (1991), 1031-1037
MSC: Primary 47B38; Secondary 46E30, 46M35
DOI: https://doi.org/10.1090/S0002-9939-1991-1072085-8
MathSciNet review: 1072085
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We characterize the conditions under which weighted norm inequalities for a positive operator $ T$ can be obtained by interpolation with change of measure. The results are applied to the construction of all good weight pairs for $ T$. This construction is used to show that the study of weighted norm inequalities for operators $ T$ that factor as $ T = PQ$ reduce to that of the weighted norm inequalities for the factors $ P$ and $ Q$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 47B38, 46E30, 46M35

Retrieve articles in all journals with MSC: 47B38, 46E30, 46M35


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1072085-8
Article copyright: © Copyright 1991 American Mathematical Society