Akihiko Miyachi

activity

20182024

most citedBoundedness of multilinear pseudo-differential operators of

S_{0, 0}

-type in

L^{2}

-based amalgam spaces

5 citations · 9 across the 14 of their papers we have counts for

collaborators

Showing 2019Show all

3 papers · 1 filter

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…

math.CA2019★ 5 cited

Boundedness of multilinear pseudo-differential operators of $S_{0, 0}$ -type in $L^{2}$ -based amalgam spaces

Tomoya Kato, Akihiko Miyachi, Naohito Tomita

We consider the multilinear pseudo-differential operators with symbols in a generalized $S_{0, 0}$ -type class and prove the boundedness of the operators from $(L^2,\ell^{q_1}) \time…

math.CA2019

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

Tomoya Kato, Akihiko Miyachi, Naohito Tomita

We extend the known result that the bilinear pseudo-differential operators with symbols in the bilinear Hörmander class $B S_{0, 0}^{- n /2} (R^{n})$ are bounded from $L^2 \times…

Limited smoothness conditions with mixed norms for bilinear Fourier multipliers

Boundedness of multilinear pseudo-differential operators of S0,0​-type in L2-based amalgam spaces

Boundedness of bilinear pseudo-differential operators of S0,0​-type on L2×L2

Boundedness of multilinear pseudo-differential operators of $S_{0, 0}$ -type in $L^{2}$ -based amalgam spaces

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