Weighted inequalities for Riemann-Liouville fractional integrals of order one and greater

Autor: Martín-Reyes, F. J., Sawyer, E.
Zdroj: Proceedings of the American Mathematical Society; 1989, Vol. 106 Issue: 3 p727-733, 7p
Abstrakt: A simple characterization is given for two-weight norm inequalities for generalized Hardy operators $ {T_\varphi }f(x) = \smallint _0^x\varphi (\tfrac{t}{x})f(t)dt$ $ \varphi :(0,1) \to (0,\infty )$ $ \varphi (ab) \leq D[\varphi (a) + \varphi (b)]$ $ 0 < a,b < 1$. Included in particular are the Riemann-Liouville fractional integrals.
Databáze: Supplemental Index