论文标题
在具有可变指数的Lebesgue空间中，渐近WEYL几乎周期性的功能
Asymptotically Weyl almost periodic functions in Lebesgue spaces with variable exponents
论文作者
论文摘要
在本文中，我们介绍并分析了Lebesgue空间中的几种不同的Weyl几乎周期性功能和Weyl Ergodic组件。 The introduced classes of generalized (asymptotically) Weyl almost periodic functions are new even in the case that the function $p(x)$ has a constant value $p\geq 1,$ provided that the functions $ϕ(x)$ and $F(l,t)$ under our consideration satisfy $ϕ(x)\neq x$ or $F(l,t)\neq l^{(-1)/p}.$
In this paper, we introduce and analyze several different notions of Weyl almost periodic functions and Weyl ergodic components in Lebesgue spaces with variable exponent $L^{p(x)}.$ We investigate the invariance of (asymptotical) Weyl almost periodicity with variable exponent under the actions of convolution products, providing also some illustrative applications to abstract fractional differential inclusions in Banach spaces. The introduced classes of generalized (asymptotically) Weyl almost periodic functions are new even in the case that the function $p(x)$ has a constant value $p\geq 1,$ provided that the functions $ϕ(x)$ and $F(l,t)$ under our consideration satisfy $ϕ(x)\neq x$ or $F(l,t)\neq l^{(-1)/p}.$
