Mathematics – Functional Analysis
Scientific paper
2010-07-07
Mathematics
Functional Analysis
15 pages
Scientific paper
It is shown that that the fractional integral operators with the parameter $\alpha$, $0<\alpha<1$, are not bounded between the generalized grand Lebesgue spaces $L^{p), \theta_1}$ and $L^{q), \theta_2}$ for $\theta_2 < (1+\alpha q)\theta_1$, where $1
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