Yingli Hou. Source: Annals of Functional Analysis, Volume 10, Number 4, 472--482.Abstract: In this paper we introduce a subclass of Cowen–Douglas operators of high-rank case denoted by $\mathcal{FB}_{n,1}(\Omega)$ . Each operator $T\in\mathcal{FB}_{n,1}(\Omega)$ is induced by one Cowen–Douglas...

Przemysław Górka, Paweł Pośpiech. Source: Annals of Functional Analysis, Volume 10, Number 4, 460--471.Abstract: We study Banach function spaces (BFS) on locally compact topological groups. We focus on totally bounded sets in BFS. We obtain the Riesz–Kolmogorov compactness theorem as well as the...

Yixin Yang, Senhua Zhu, Yufeng Lu. Source: Annals of Functional Analysis, Volume 10, Number 4, 447--459.Abstract: In this paper, we show that, for the rational inner function $\theta (z,w)=\frac{zw+\overline{b}w+\overline{c}z+\overline{d}}{1+bz+cw+dzw}$ , $S_{z}$ is reducible on the quotient...

Eudes Mendes Barboza, João Marcos do Ó, Bruno Ribeiro. Source: Advances in Differential Equations, Volume 24, Number 11/12, 713--744.Abstract: In this paper, our goal is to study the following class of Hénon type problems \begin{equation*} \left\{\begin{array}{rclcl}\displaystyle -\Delta u &...

Mitsuo Higaki. Source: Advances in Differential Equations, Volume 24, Number 11/12, 647--712.Abstract: The asymptotic stability of two-dimensional stationary flows in a non-symmetric exterior domain is considered. Under the smallness condition on initial perturbations, we show the stability of the...

Norihisa Ikoma, Kazunaga Tanaka. Source: Advances in Differential Equations, Volume 24, Number 11/12, 609--646.Abstract: We study the existence of $L^2$ normalized solutions for nonlinear Schrödinger equations and systems. Under new Palais-Smale type conditions, we develop new deformation...

Takeyuki Nagasawa, Kohei Nakamura. Source: Advances in Differential Equations, Volume 24, Number 9/10, 581--608.Abstract: Several inequalities for the isoperimetric ratio for plane curves are derived. In particular, we obtain interpolation inequalities between the deviation of curvature and the...

Tomoyuki Tanaka. Source: Advances in Differential Equations, Volume 24, Number 9/10, 555--580.Abstract: We consider the Cauchy problem of third order Benjamin-Ono type equations on the torus. Nonlinear terms may yield derivative losses, which prevents us from using the classical energy method. In...

Fabio Camilli, Raul De Maio. Source: Advances in Differential Equations, Volume 24, Number 9/10, 531--554.Abstract: We consider a Mean Field Games model where the dynamics of the agents is subdiffusive. According to the optimal control interpretation of the problem, we get a system involving...

Jie Xiao, Dachun Yang, Junjie Zhang, Yuan Zhou. Source: Advances in Differential Equations, Volume 24, Number 9/10, 501--530.Abstract: This paper shows a Liouville-type law for the incompressible Stokes system and a trace principle over the uniform domains for the BMO-Q spaces...