Weight structure theorems and factorization of positive operators

Bloom, Steven; Kerman, Ron

doi:10.1090/S0002-9939-1991-1072085-8

Weight structure theorems and factorization of positive operators
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by Steven Bloom and Ron Kerman PDF

Proc. Amer. Math. Soc. 113 (1991), 1031-1037 Request permission

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 $Q$.

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