On bounded operators in $L^p$ spaces
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 2 (2011), pp. 11-16
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.
@article{UZERU_2011_2_a1,
author = {A. I. Petrosyan and A. F. Beknazaryan},
title = {On bounded operators in $L^p$ spaces},
journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
pages = {11--16},
year = {2011},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/UZERU_2011_2_a1/}
}
TY - JOUR AU - A. I. Petrosyan AU - A. F. Beknazaryan TI - On bounded operators in $L^p$ spaces JO - Proceedings of the Yerevan State University. Physical and mathematical sciences PY - 2011 SP - 11 EP - 16 IS - 2 UR - http://geodesic.mathdoc.fr/item/UZERU_2011_2_a1/ LA - en ID - UZERU_2011_2_a1 ER -
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/
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