It is proved that the space of solutions of the Dirichlet problem for the harmonic functions in the unit disk with nontangential boundary limits 0 a.e. has the infinite dimension.
@article{bwmeta1.element.doi-10_1515_math-2015-0034,
author = {Vladimir Ryazanov},
title = {Infinite dimension of solutions of the Dirichlet problem},
journal = {Open Mathematics},
volume = {13},
year = {2015},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_math-2015-0034}
}
Vladimir Ryazanov. Infinite dimension of solutions of the Dirichlet problem. Open Mathematics, Tome 13 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_math-2015-0034/
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