Xiaojing Liu, Toshio Horiuchi, Hiroshi Ando. One dimensional weighted Hardy's inequalities and application. Journal of Mathematical Inequalities. 2020. 4. 1203-1222
X.Liu, T.Horiuchi. Kato's inequalities for admissible functions to quasilinear elliptic operators A. Mathematical Journal of Ibaraki University. 2019. 51. 49-64
X.Liu, T.Horiuchi. The equivalences among p-capacity, p-Laplace-capacities and Hausdorff measure. Mathematical Journal of Ibaraki University. 2018. 50. 5-13
X.Liu, T.Horiuchi. Remarks on the strong maximum principle involving p-Laplacian. Hiroshima Mathematical Journal. 2016. 46. 3. 311-331
X.Liu, T.Horiuchi. Remarks on Kato's inequality when Δpu is a measure. Mathematical Journal of Ibaraki University. 2016. 48. 45-61
H.Ando, T.Horiuchi and X.Liu. One dimensional weighted Hardy’s inequalities and application. arXiv:1909.10689 [math.AP]; Accepted by Journal of Mathematical Inequalities. 2020. 1-16
講演・口頭発表等 (12件):
One dimensional weighted Hardy's Inequalities and application.
(調和解析セミナー 茨城大学 2019年3月6日-8日)
The equivalences among p-capacity, p-Laplace-capacities and Hausdorff measure.
(日本数学会 函数方程式分科会 2018年3月18日)
Improved Kato’s inequalities for a quasilinear elliptic operator and relating topics.
(Tsukuba Workshop for Young Mathematicians 2018 筑波大学 2018年2月6日)
Improved Kato's inequalities for the quasilinear elliptic operator and relating topics.
(国際研究集会 HAAT 2017日本大学 2017年8月2日- 4日)