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Controlling products of currents by higher powers of plurisubharmonic functions

Ahmad K. Al Abdulaali; Hassine El Mir — 2020

Czechoslovak Mathematical Journal

We discuss the existence of the current $g^{k} T$ , $k \in ℕ$ 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.

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