Papers
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Pseudo-differential operators of class $S^m_{0,0}$ on the Herz-type spaces ,
Hokkaido Math. J. 38 (2009), no.2, 283-302.
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Sharp maximal inequalities and its applications to some bilinear estimates ,
J. Fourier Anal. Appl. 17 (2011), no.2, 265-289.
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The Navier-Stokes equations and weak Herz spaces ,
Adv. Differential Equations 16 (2011), no.11-12, 1049-1085.
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$A_\infty$ constants between $BMO$ and weighted $BMO$ ,
Proc. Japan Acad. Ser. A Math. Sci. 90 (2014), no.1, 11-14.
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An application of weighted Hardy spaces to the Navier-Stokes equations ,
J. Funct. Anal. 266 (2014), no.3, 1395-1420.
- With Yoshie Sugiyama and Juan J.L. Velázquez,
Global solutions to a chemotaxis system with non-diffusive memory ,
J. Math. Anal. Appl. 410 (2014), no.2, 908-917.
- With Mitsuo Izuki and Yoshihiro Sawano,
Variable Lebesgue norm estimates for $BMO$ functions II ,
Anal. Math. 40 (2014), no.3, 215-230.
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Div - curl lemma with critical power weights in dimension three ,
Math. Nachr. 289 (2016), no.2-3, 360-376.
[Revised version]
: in RIMS Kokyuroku No. 2009, Mathematical Analysis of viscous Incompressible Fluid (2016)
- With Jayson Cunanan,
Trace operators on Wiener amalgam spaces
,
J. Funct. Spaces (2016), Art. ID 1710260, 6 pp.
- With Takahiro Okabe,
Navier-Stokes flow in the weighted Hardy space with applications to time decay problem,
J. Differential Equations, 261 (2016), no. 3, 1712-1755.
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Bounded global solutions to a Keller-Segel system with non-diffusive chemical in $\Rn$ ,
J. Evol. Equ. 17 (2017), no. 2, 627?640.
- With Takahiro Okabe,
Time-periodic strong solutions to the incompressible Navier-Stokes equation with external force of the non-divergence form,
J. Differential Equations, 263 (2017), no. 12, 8229-8263.
- With Martin Bolkart, Yoshikazu Giga, Tatsu-Hiko Miura and Takuya Suzuki,
On analyticity of the $L^p$-Stokes semigroup for some non-Helmholtz domains,
Math. Nachr., 290 (2017), no. 16, 2524-2546.
- With Jayson Cunanan,
Trace operators on various decomposition spaces
Harmonic analysis and nonlinear partial differential equations, 23-35,
RIMS Kokyuroku Bessatsu, B65 , Res. Inst. Math. Sci. (RIMS), Kyoto, (2017).
- With Martin Bolkart, Yoshikazu Giga and Takuya Suzuki,
Equivalence of BMO-type norms with applications to the heat and Stokes semigroups,
To appear in Potential Anal.
Preprints
- With Jayson Cunanan and Takahiro Okabe,
Asymptotic stability of the stationary Navier-Stokes flows in Besov spaces,
Submitted.
(arXiv:1707.02016)
- With Takahiro Okabe,
Remarks on the strong solvability of the Navier-Stokes equations in the weak $L^n$ space,
Submitted.
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Sparse bounds for local smoothing operators,
Submitted.
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A sparse bound for a time-integral operator with wave propagator,
Submitted.
Notes
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