Czechoslovak Mathematical Journal, first online, pp. 1-8
Controlling products of currents by higher powers of plurisubharmonic functions
Ahmad K. Al Abdulaali, Hassine El Mir
Received May 7, 2019. Published online July 7, 2020.
Abstract: We discuss the existence of the current $g^kT$, $k \in\mathbb N$ for positive and closed currents $T$ and unbounded plurisubharmonic functions $g$. Furthermore, a new type of weighted Lelong number is introduced under the name of weight $k$ Lelong number.
Keywords: positive current; plurisubharmonic function; plurisubharmonic current
Affiliations: Ahmad K. Al Abdulaali (corresponding author), Hassine El Mir, The Department of Mathematics, College of Science, King Faisal University, P.O. Box 380, 31982 Al-Ahsaa, Saudi Arabia, e-mail: email@example.com, firstname.lastname@example.org