Abstract
Let $\alpha>0$ and $\gamma>0$. We consider integral operator of the form $${\mathcal{G}}_{\phi_\gamma}f(x):=\frac{1}{\Psi_\gamma (x)}\int_0^x (1-\frac{y}{x})^{\alpha-1}\phi_\gamma(y) f(y)dy \quad x>0.$$ This paper is devoted to the study of the infinity behavior of ${\mathcal{G}}_{\phi_\gamma}$. We also provide separately result on the similar problem in the weighted Lebesgue space.
Citation
Homaion Roohian. Soroosh Mohammadi Farsani. "On the behavior at infinity of certain integral operator with positive kernel." Adv. Oper. Theory 2 (3) 228 - 236, Summer 2017. https://doi.org/10.22034/aot.1701-1101
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