57 citations · 74 across the 15 of their papers we have counts for
7 papers · 1 filter
The orthonormal Strichartz inequality on torus
Shohei Nakamura
In this paper, motivated by recent important works due to Frank-Lewin-Lieb-Seiringer \cite{FLLS} and Frank-Sabin \cite{frank-sabin-1}, we study the Strichartz inequality on torus w…
On the Strichartz estimates for orthonormal systems of initial data with regularity
Neal Bez, Younghun Hong, Sanghyuk Lee +2
The classical Strichartz estimates for the free Schrödinger propagator have recently been substantially generalised to estimates of the form \[ \bigg\|\sum_jλ_j|e^{itΔ}f_j|^2\bigg\…
Multiplier conditions for Boundedness into Hardy spaces
Loukas Grafakos, Shohei Nakamura, Hanh Van Nguyen +1
In the present work, we find useful and explicit necessary and sufficient conditions for linear and multilinear multiplier operators of Coifman-Meyer type, finite sum of products o…
Conditions for Boundedness into Hardy spaces
Loukas Grafakos, Shohei Nakamura, Hanh Van Nguyen +1
We obtain boundedness from a product of Lebesgue or Hardy spaces into Hardy spaces under suitable cancellation conditions for a large class of multilinear operators that includes t…
Fractional operators on weighted Morrey spaces
Shohei Nakamura, Yoshihiro Sawano, Hitoshi Tanaka
A necessary condition and a sufficient condition for one weight norm inequalities on Morrey spaces to hold are given for the fractional maximal operator and the fractional integral…
The singular integral operator and its commutator on weighted Morrey spaces
Shohei Nakamura, Yoshihiro Sawano
In this paper, we give necessary conditions and sufficient conditions respectively for the boundedness of the singular integral operator on the weighted Morrey spaces. We observe t…
Generalized Morrey spaces and trace operator
Shohei Nakamura, Takahiro Noi, Yoshihiro Sawano
The theory of generalized Besov-Morrey spaces and generalized Triebel-Lizorkin-Morrey spaces is developed. Generalized Morrey spaces, which T. Mizuhara and E. Nakai proposed, are e…