3 papers
math.FA2026
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…
math.FA2026
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…
math.FA2026
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.