1 citations · 1 across the 4 of their papers we have counts for
5 papers
Fractional maximal operators with weighted Hausdorff content
Hiroki Saito, Hitoshi Tanaka, Toshikazu Watanabe
Let be the spatial dimension. The purpose of this note is to obtain some weighted estimates for the fractional maximal operator of order , , o…
The -linear embedding theorem for dyadic rectangles
Hitoshi Tanaka, Kozo Yabuta
Let $\sg_i$, , denote reverse doubling weights on , let $\cdr(\R^d)$ denote the set of all dyadic rectangles on (Cartesian products of usual dyadic inter…
Equivalent norms for the Morrey spaces with non-doubling measures
Hitoshi Tanaka, Yoshihiro Sawano
In this paper under some growth condition we investigate the connection between RBMO and the Morrey spaces. We do not assume the doubling condition which has been a key property of…
A characterization of two weight trace inequalities for positive dyadic operators in the upper triangle case
Hitoshi Tanaka
Two weight trace inequalities for positive dyadic operators are characterized in terms of discrete Wolff's potentials in the upper triangle case.
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…