Papers

• Pseudo-differential operators of class $S^m_{0,0}$ on the Herz-type spaces ,
  Hokkaido Math. J. 38 (2009), no.2, 283-302.
• Sharp maximal inequalities and its applications to some bilinear estimates ,
  J. Fourier Anal. Appl. 17 (2011), no.2, 265-289.
• The Navier-Stokes equations and weak Herz spaces ,
  Adv. Differential Equations 16 (2011), no.11-12, 1049-1085.
• $A_\infty$ constants between $BMO$ and weighted $BMO$ ,
  Proc. Japan Acad. Ser. A Math. Sci. 90 (2014), no.1, 11-14.
• 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.
• 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.
• Bounded global solutions to a Keller-Segel system with non-diffusive chemical in $\mathbb{R}^n$ ,
  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.
• Sparse bounds for local smoothing operators ,
  Harmonic analysis and nonlinear partial differential equations, 127-137, RIMS Kokyuroku Bessatsu, B74 , Res. Inst. Math. Sci. (RIMS), Kyoto, (2018).
• With Jayson Cunanan and Takahiro Okabe,
  Asymptotic stability of the stationary Navier-Stokes flows in Besov spaces,
  To appear in Asymptot. Anal.
• With Takahiro Okabe,
  Remarks on the strong solvability of the Navier-Stokes equations in the weak $L^n$ space,
  To appear in Math. Ann.

Preprints