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| 1 | Sharp Growth Theorems and Coefficient Bounds for Starlike Mappings in Several Complex Variables显示文摘让 B 是在一个复杂 Banach 空格的联合起来的球。让 S k+1 *(B) 是 B 上的规范的星形的地图砰 f 的家庭以便 0 是的 z = f (z)-z 的零顺序 k+1。作者突然地获得生长和盖住的定理,以及锋利的系数为 S k+1 *(B) 。 | Hidetaka HAMADA Tatsuhiro HONDA | 2008 | Chinese Annals of Mathematics,Series B2008，29，4： | 26 |
| 2 | Bloch-type spaces and extended Cesàro operators in the unit ball of a complex Banach space显示文摘Let B be the unit ball of a complex Banach space X. In this paper, we generalize the Bloch-type spaces and the little Bloch-type spaces to the open unit ball B by using the radial derivative. Next, we de?ne an extended Ces`aro operator T_φ with the holomorphic symbol φ and characterize those φ for which T_φ is bounded between the Bloch-type spaces and the little Bloch-type spaces. We also characterize those φ for which T_φ is compact between the Bloch-type spaces and the little Bloch-type spaces under some additional assumption on the symbol φ. When B is the open unit ball of a ?nite dimensional complex Banach space X, this additional assumption is automatically satis?ed. | Hidetaka Hamada | 2019 | Science China Mathematics2019，62，4： | 3 |
| 3 | Asymptotically spirallike mappings in several complex variables显示文摘 | Ian Graham Hidetaka Hamada Gabriela Kohr Mirela Kohr | 2008 | Journal d’Analyse Mathématique2008，，1： | 1 |
| 4 | Quasiconformal extension of biholomorphic mappings in several complex variables显示文摘 | Hidetaka Hamada Gabriela Kohr | 2005 | Journal d’Analyse Mathématique2005，，1： | 1 |
| 5 | EpCAM contributes to formation of functional tight junction in the intestinal epithelium by recruiting claudin proteins显示文摘 | Zili Lei Takako Maeda Atsushi Tamura Tetsuya Nakamura Yuji Yamazaki Hidetaka Shiratori Kenta Yashiro Sachiko Tsukita Hiroshi Hamada | 2012 | Developmental Biology2012，，2： | 1 |
| 6 | Support points for families of univalent mappings on bounded symmetric domains显示文摘In this paper,we study some extremal problems for the family Sg^0(BX)of normalized univalent mappings with g-parametric representation on the unit ball BX of an n-dimensional JB*-triple X with r≥2,where r is the rank of X and g is a convex(univalent)function on the unit disc U,which satisfies some natural assumptions.We obtain sharp coefficient bounds for the family Sg^0(BX),and examples of bounded support points for various subsets of Sg^0(BX).Our results are generalizations to bounded symmetric domains of known recent results related to support points for families of univalent mappings on the Euclidean unit ball B^n and the unit polydisc U^n in C^n.Certain questions will be also mentioned.Finally,we point out sharp coefficient bounds and bounded support points for the family Sg^0(B^n)and for special compact subsets of Sg^0(B^n),in the case n≥2. | Hidetaka Hamada Gabriela Kohr | 2020 | Science China Mathematics2020，63，12： | 1 |
| 7 | Extreme points, support points and the Loewner variation in several complex variables显示文摘In this paper we consider extreme points and support points for compact subclasses of normalized biholomorphic mappings of the Euclidean unit ball Bn in Cn. We consider the class S0(Bn) of biholomorphic mappings on Bn which have parametric representation, i.e., they are the initial elements f (·, 0) of a Loewner chain f (z, t) = etz + ··· such that {e-tf (·, t)}t 0 is a normal family on Bn. We show that if f (·, 0) is an extreme point (respectively a support point) of S0(Bn), then e-tf (·, t) is an extreme point of S0(Bn) for t 0 (respectively a support point of S0(Bn) for t ∈[0, t0] and some t0 > 0). This is a generalization to the n-dimensional case of work due to Pell. Also, we prove analogous results for mappings which belong to S0(Bn) and which are bounded in the norm by a fixed constant. We relate the study of this class to reachable sets in control theory generalizing work of Roth. Finally we consider extreme points and support points for biholomorphic mappings of Bn generated by using extension operators that preserve Loewner chains. | GRAHAM Ian HAMADA Hidetaka KOHR Gabriela KOHR Mirela | 2012 | Science China Mathematics2012，55，7： | 1 |
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