Turkish Journal of Mathematics and Computer Science
Yazarlar: ["Abdulhamit KÜÇÜKASLAN"]
Konular:-
DOI:10.47000/tjmcs.1004212
Anahtar Kelimeler:Generalized fractional maximal operator,Vanishing generalized weighted Morrey space,Muckenhoupt-Weeden classes,Muckenhoupt-Weeden class
Özet: In this paper, we generalize Adams-type theorems given in [1,13] (which are the following Theorem A and Theorem B, respectively) to the vanishing generalized weighted Morrey spaces. We prove the Adams-type boundedness of the generalized fractional maximal operator $M_{\rho}$ from the vanishing generalized weighted Morrey spaces $\mathcal{\mathcal{VM}}_{p,\varphi^{\frac{1}{p}}}(\mathbb{R}^n, w)$ to another one $\mathcal{\mathcal{VM}}_{q,\varphi^{\frac{1}{q}}}(\mathbb{R}^n, w)$ with $w \in A_{p,q}$ for $1$<$p$<$\infty,\ q$>$p$; and from the vanishing generalized weighted Morrey spaces $\mathcal{\mathcal{VM}}_{1,\varphi}(\mathbb{R}^n, w)$ to the vanishing generalized weighted weak Morrey spaces $\mathcal{\mathcal{VWM}}_{q,\varphi^{\frac{1}{q}}}(\mathbb{R}^n, w)$ with $w \in A_{1,q}$ for $p=1,\ 1$<$ q$<$\infty$. The all weight functions belong to Muckenhoupt-Weeden classes $A_{p,q}$.