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On the Moser-Trudinger inequality in complex space
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2019 (English)In: Journal of Mathematical Analysis and Applications, ISSN 0022-247X, E-ISSN 1096-0813, Vol. 479, no 2, p. 1456-1474Article in journal (Refereed) Published
Abstract [en]

In this paper we prove the pluricomplex counterpart of the Moser-Trudinger and Sobolev inequalities in complex space. We consider these inequalities for plurisubharmonic functions with finite pluricomplex energy, and we estimate the concerned constants.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 479, no 2, p. 1456-1474
Keywords [en]
Compact Kahler manifold, Complex Monge-Ampere operator, Plurisubharmonic function, Subharmonic function, Moser-Trudinger inequality, Sobolev inequality
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-162827DOI: 10.1016/j.jmaa.2019.07.006ISI: 000480510800003OAI: oai:DiVA.org:umu-162827DiVA, id: diva2:1351520
Available from: 2019-09-16 Created: 2019-09-16 Last updated: 2019-09-16Bibliographically approved

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Åhag, Per

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