Geodesic
Controlling products of currents by higher powers of plurisubharmonic functions
Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1139-1146 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/CMJ.2020.0205-19
Classification : 32U40
Keywords: positive current; plurisubharmonic function; plurisubharmonic current 
@article{10_21136_CMJ_2020_0205_19,
     author = {Al Abdulaali, Ahmad K. and El Mir, Hassine},
     title = {Controlling products of currents by higher powers of plurisubharmonic functions},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1139--1146},
     year = {2020},
     volume = {70},
     number = {4},
     doi = {10.21136/CMJ.2020.0205-19},
     mrnumber = {4181802},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0205-19/}
}
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
SP  - 1139
EP  - 1146
VL  - 70
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0205-19/
DO  - 10.21136/CMJ.2020.0205-19
LA  - en
ID  - 10_21136_CMJ_2020_0205_19
ER  - 
%0 Journal Article
%A Al Abdulaali, Ahmad K.
%A El Mir, Hassine
%T Controlling products of currents by higher powers of plurisubharmonic functions
%J Czechoslovak Mathematical Journal
%D 2020
%P 1139-1146
%V 70
%N 4
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0205-19/
%R 10.21136/CMJ.2020.0205-19
%G en
%F 10_21136_CMJ_2020_0205_19
Al Abdulaali, Ahmad K.; El Mir, Hassine. Controlling products of currents by higher powers of plurisubharmonic functions. Czechoslovak Mathematical Journal, Tome 70 (2020) no. 4, pp. 1139-1146. doi: 10.21136/CMJ.2020.0205-19

[1] Abdulaali, A. K. Al: The inductive wedge product of positive currents. J. Math. Anal. Appl. 412 (2014), 744-755. | DOI | MR | JFM

[2] Abdulaali, A. K. Al, Mir, H. El: The existence problem of $S$-plurisubharmonic currents. C. R. Math., Acad. Sci. Paris 353 (2015), 605-610. | DOI | MR | JFM

[3] Bishop, E.: Conditions for the analyticity of certain sets. Mich. Math. J. 11 (1964), 289-304. | DOI | MR | JFM

[4] Demailly, J.-P.: Monge-Ampère operators, Lelong numbers and intersection theory. Complex Analysis and Geometry University Series in Mathematics, Plenum Press, New York (1993), 115-193. | DOI | MR | JFM

[5] ss, J. E. Fornæ, Sibony, N.: Oka's inequality for currents and applications. Math. Ann. 301 (1995), 399-419. | DOI | MR | JFM

[6] Shiffman, B.: On the removal of singularities of analytic sets. Mich. Math. J. 15 (1968), 111-120. | DOI | MR | JFM

Cité par Sources :