Geodesic
On bounded operators in $L^p$ spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2011), pp. 11-16

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In the present paper the linear operators that depend on a normal pair of weight functions $\{\varphi,\psi\}$ in the Banach spaces $L^p(D)$, where $D$ is the unit disk in the complex plane, are considered. It is investigated, for which values of these operators are bounded.
Keywords: Banach space, analytic function, bounded operator. 
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     title = {On  bounded operators in $L^p$  spaces},
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A. I. Petrosyan; A. F. Beknazaryan. On  bounded operators in $L^p$  spaces. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2011), pp. 11-16. http://geodesic.mathdoc.fr/item/UZERU_2011_2_a1/