An areal analog of Mahler’s measure
Pritsker, Igor E.
Illinois J. Math., Tome 52 (2008) no. 1, p. 347-363 / Harvested from Project Euclid
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We consider a version of height on polynomial spaces defined by the integral over the normalized area measure on the unit disk. This natural analog of Mahler’s measure arises in connection with extremal problems for Bergman spaces. It inherits many nice properties such as the multiplicative one. However, this height is a lower bound for Mahler’s measure, and it can be substantially lower. We discuss some similarities and differences between the two.
Publié le : 2008-05-15
Classification:  11C08,  11G50,  30C10 
@article{1248355339,
     author = {Pritsker, Igor E.},
     title = {An areal analog of Mahler's measure},
     journal = {Illinois J. Math.},
     volume = {52},
     number = {1},
     year = {2008},
     pages = { 347-363},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1248355339}
}

Pritsker, Igor E. An areal analog of Mahler’s measure. Illinois J. Math., Tome 52 (2008) no. 1, pp.  347-363. http://gdmltest.u-ga.fr/item/1248355339/