Naoto Shida

activity

20192021

most citedOn the ranges of bilinear pseudo-differential operators of

S_{0, 0}

-type on

L^{2} \times L^{2}

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.CA2021

A remark on the relationship $1/ p = 1/ p_{1} + 1/ p_{2}$ for boundedness of bilinear pseudo-differential operators with exotic symbols

Tomoya Kato, Naoto Shida

We consider the bilinear pseudo-differential operators with symbols in the bilinear Hörmander classes $B S_{ρ, ρ}^{m}$ , $0 < ρ < 1$ . In this paper, we show that the condition $1/p = 1/…

math.CA2020

Kato-Ponce type inequality for bilinear pseudo-differential operators of $S_{0, 0}$ -type in the scale of Besov spaces

Naoto Shida

We consider the Kato-Ponce type inequality for bilinear pseudo-differential operators with $S_{0, 0}$ -type symbols in the scale of Besov spaces. In particular, the borderline whethe…

math.CA2020★ 1 cited

On the ranges of bilinear pseudo-differential operators of $S_{0, 0}$ -type on $L^{2} \times L^{2}$

Naoki Hamada, Naoto Shida, Naohito Tomita

In this paper, the ranges of bilinear pseudo-differential operators of $S_{0, 0}$ -type on $L^{2} \times L^{2}$ are determined in the framework of Besov spaces. Our result improves the $…

math.CA2019

Limited smoothness conditions with mixed norms for bilinear Fourier multipliers

Akihiko Miyachi, Naoto Shida, Naohito Tomita

In this paper, the $L^{2} \times L^{\infty} \to L^{2}$ and $L^{2} \times L^{2} \to L^{1}$ boundedness of bilinear Fourier multiplier operators is discussed under weak smoothness conditions o…

A remark on the relationship 1/p=1/p1​+1/p2​ for boundedness of bilinear pseudo-differential operators with exotic symbols

Kato-Ponce type inequality for bilinear pseudo-differential operators of S0,0​-type in the scale of Besov spaces

On the ranges of bilinear pseudo-differential operators of S0,0​-type on L2×L2

Limited smoothness conditions with mixed norms for bilinear Fourier multipliers

A remark on the relationship $1/ p = 1/ p_{1} + 1/ p_{2}$ for boundedness of bilinear pseudo-differential operators with exotic symbols

Kato-Ponce type inequality for bilinear pseudo-differential operators of $S_{0, 0}$ -type in the scale of Besov spaces

On the ranges of bilinear pseudo-differential operators of $S_{0, 0}$ -type on $L^{2} \times L^{2}$