5 citations · 8 across the 10 of their papers we have counts for
12 papers
Multilinear embedding theorem for fractional sparse operators
Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1
We show some simple sufficient conditions for which the multilinear embedding theorem holds for fractional sparse operators. By verifying these conditions, we establish the theorem…
The Adams trace theorem for product Morrey spaces
Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1
By using a Hedberg-type inequality, the Adams trace inequality is extended from Lebesgue spaces to product Morrey spaces.
The Kerman-Sawyer trace theorem for product Morrey spaces
Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1
By using parallel corona decomposition, the Kerman-Sawyer trace theorem is extended from Lebesgue spaces to \textit{product Morrey spaces}. By discretizing the multilinear fraction…
Boundedness of composition operators from Lorentz spaces to Orlicz spaces
Naoya Hatano, Masahiro Ikeda, Ryota Kawasumi
The boundedness (continuity) of composition operators from some function space to another one is significant, though there are few results about this problem. Thus, in this study,…
Boundedness of composition operator in Orlicz-Morrey spaces
Masahiro Ikeda, Isao Ishikawa, Ryota Kawasumi
In this paper, we investigate necessary and sufficient conditions on the boundedness of composition operators on the Orlicz-Morrey spaces. The results of boundedness include Lebesg…
Choquet integrals, Hausdorff content and sparse operators
Naoya Hatano, Ryota Kawasumi, Hiroki Saito +1
Let , , be the dyadic Hausdorff content of the -dimensional Euclidean space . It is shown that counts a~Cantor set of the unit cube a…