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math.CA2012
A characterization for the boundedness of positive operators in a filtered measure space
Hitosh Tanaka, Yutaka Terasawa
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 to $L^q…
math.CA2012★ 1 cited
Positive operators and maximal operators in a filtered measure space
Hitoshi Tanaka, Yutaka Terasawa
In a filtered measure space, a characterization of weights for which the trace inequality of a positive operator holds is given by the use of discrete Wolff's potential. A refineme…