Yuan Zhao, Haibo Lin, Yan Meng. Source: Annals of Functional Analysis, Volume 10, Number 3, 337--349.Abstract: Let $({\mathcal{X}},d,\mu )$ be a metric measure space such that, for any fixed $x\in {\mathcal{X}}$ , $\mu (B(x,r))$ is a continuous function with respect to $r\in (0,\infty )$ . In this...

Zhujun Yang, Jianhua Zhang. Source: Annals of Functional Analysis, Volume 10, Number 3, 325--336.Abstract: We prove that every bijective map that preserves mixed Lie triple products from a factor von Neumann algebra $\mathcal{M}$ with $\dim \mathcal{M}\gt 4$ into another factor von Neumann algebra...

Azeddine Baalal, Mohamed Berghout. Source: Annals of Functional Analysis, Volume 10, Number 3, 308--324.Abstract: In this article we show some density properties of smooth and compactly supported functions in fractional Sobolev spaces with variable exponents. The additional difficulty in this...

Jinling Niu, Xuexin Li, Yuming Xing. Source: Annals of Functional Analysis, Volume 10, Number 3, 291--307.Abstract: In this paper, we establish the boundedness estimates for the composition of the homotopy operator $T$ and the potential operator $T_{\Phi }$ on differential forms with...

Tadeusz Kuczumow, Stanisław Prus. Source: Annals of Functional Analysis, Volume 10, Number 2, 284--290.Abstract: In this article we introduce a method of constructing functions with claimed properties by using the Tychonoff theorem. As an application of this method we show that the Carathéodory...

Józef Banaś, Leszek Olszowy. Source: Annals of Functional Analysis, Volume 10, Number 2, 277--283.Abstract: Our principal aim in this article is to show the equivalence of two concepts used recently in the theory of Banach algebras. The result we present here solves an open problem raised by...

E. R. Aragão-Costa. Source: Annals of Functional Analysis, Volume 10, Number 2, 262--276.Abstract: In this article we give sufficient conditions for the hypoellipticity in the first level of the abstract complex generated by the differential operators $L_{j}=\frac{\partial}{\partial...

Mustapha Raïssouli. Source: Annals of Functional Analysis, Volume 10, Number 2, 252--261.Abstract: Our main goal in this article is to give some functional inequalities involving a (convex) functional and its Fenchel conjugate. As a consequence, we obtain some refinements of the so-called Fenchel...

Bing Yang, Xiaochun Fang. Source: Annals of Functional Analysis, Volume 10, Number 2, 242--251.Abstract: In this article we characterize the form of each 2-local Lie derivation on a von Neumann algebra without central summands of type ${I_{1}}$ . We deduce that every 2-local Lie derivation...

Xiufeng Wu, Junjie Huang, Alatancang Chen. Source: Annals of Functional Analysis, Volume 10, Number 2, 229--241.Abstract: Let $\mathcal{H}$ and $\mathcal{K}$ be complex separable Hilbert spaces. Given the operators $A\in \mathcal{B}(\mathcal{H})$ and $B\in\mathcal{B}(\mathcal{K},\mathcal{H})$ , we...