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
Potential Anal., 49 (2018), no.1, 105-130.
-
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
Asymptot. Anal., 129 (2022), no.1, 29-50.
- With Takahiro Okabe,
Remarks on the strong solvability of the Navier-Stokes equations in the weak $L^n$ space
Math. Ann., 388 , (2022), no.3-4, 1353-1390.
-
Fractional medians and their maximal functions
arXiv
J. Geom. Anal. 303 , (2024).
Preprints
[HOME]