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

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 $L^p(d\mu )$ to $L^q(d\mu )$ with $1<p\le q<\infty$.

References in corpus (1)

• Positive operators and maximal operators in a filtered measure space