Abstract
We study an order-relation induced by m-subharmonic functions. We shall consider maximality with respect to this order and a related notion of minimality for certain m-subharmonic functions. This concept is then applied to the problem of convergence of measures in the weak*-topology, in particular Hessian measures.
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Acknowledgements
The author is supported by the Ph.D. programme in the National Science Centre Poland under grant DEC-2013/08/A/ST1/00312 “Hessian type equation in complex geometry”. I wish to thank Professor Sławomir Kołodziej for his help to accomplish this work. I am indebted to my advisor, Dr. Rafał Czyż for many stimulating discussions. I am grateful to Dr. Sławomir Dinew for many fruitful comments. I would like to thank the referee for carefully reading my manuscript and for giving such constructive comments which helped improving the paper.
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Nguyen, V.T. On \(\varvec{m}\)-Subharmonic Ordering of Measures. Results Math 73, 5 (2018). https://doi.org/10.1007/s00025-018-0765-1
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DOI: https://doi.org/10.1007/s00025-018-0765-1