# Controlling products of currents by higher powers of plurisubharmonic functions

Ahmad K. Al Abdulaali; Hassine El Mir

Czechoslovak Mathematical Journal (2020)

- Volume: 70, Issue: 4, page 1139-1146
- ISSN: 0011-4642

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topAl Abdulaali, Ahmad K., and El Mir, Hassine. "Controlling products of currents by higher powers of plurisubharmonic functions." Czechoslovak Mathematical Journal 70.4 (2020): 1139-1146. <http://eudml.org/doc/296936>.

@article{AlAbdulaali2020,

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

author = {Al Abdulaali, Ahmad K., El Mir, Hassine},

journal = {Czechoslovak Mathematical Journal},

keywords = {positive current; plurisubharmonic function; plurisubharmonic current},

language = {eng},

number = {4},

pages = {1139-1146},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Controlling products of currents by higher powers of plurisubharmonic functions},

url = {http://eudml.org/doc/296936},

volume = {70},

year = {2020},

}

TY - JOUR

AU - Al Abdulaali, Ahmad K.

AU - El Mir, Hassine

TI - Controlling products of currents by higher powers of plurisubharmonic functions

JO - Czechoslovak Mathematical Journal

PY - 2020

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 70

IS - 4

SP - 1139

EP - 1146

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

LA - eng

KW - positive current; plurisubharmonic function; plurisubharmonic current

UR - http://eudml.org/doc/296936

ER -

## References

top- Abdulaali, A. K. Al, 10.1016/j.jmaa.2013.10.072, J. Math. Anal. Appl. 412 (2014), 744-755. (2014) Zbl1314.32049MR3147245DOI10.1016/j.jmaa.2013.10.072
- Abdulaali, A. K. Al, Mir, H. El, 10.1016/j.crma.2015.04.011, C. R. Math., Acad. Sci. Paris 353 (2015), 605-610. (2015) Zbl1321.32011MR3352030DOI10.1016/j.crma.2015.04.011
- Bishop, E., 10.1307/mmj/1028999180, Mich. Math. J. 11 (1964), 289-304. (1964) Zbl0143.30302MR0168801DOI10.1307/mmj/1028999180
- Demailly, J.-P., 10.1007/978-1-4757-9771-8_4, Complex Analysis and Geometry University Series in Mathematics, Plenum Press, New York (1993), 115-193. (1993) Zbl0792.32006MR1211880DOI10.1007/978-1-4757-9771-8_4
- ss, J. E. Fornæ, Sibony, N., 10.1007/BF01446636, Math. Ann. 301 (1995), 399-419. (1995) Zbl0832.32010MR1324517DOI10.1007/BF01446636
- Shiffman, B., 10.1307/mmj/1028999912, Mich. Math. J. 15 (1968), 111-120. (1968) Zbl0165.40503MR0224865DOI10.1307/mmj/1028999912

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