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arXiv · 1210.3924

A characterization for the boundedness of positive operators in a filtered measure space

Hitosh Tanaka·Yutaka Terasawa
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Abstract

In terms of Sawyer type checking condition, a complete characterization is established for which the positive operator in a filtered measure space is bounded from $L^p(dμ)$ to $L^q(dμ)$ with $1<p\le q<\infty$.

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Hitosh Tanaka, Yutaka Terasawa. 2012-10-15. A characterization for the boundedness of positive operators in a filtered measure space. https://arxiv.org/abs/1210.3924

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