On the identity of Keldych solutions
Wolfhard Hansen (1985)
Czechoslovak Mathematical Journal
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Wolfhard Hansen (1985)
Czechoslovak Mathematical Journal
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Jaroslav Lukeš (1973)
Commentationes Mathematicae Universitatis Carolinae
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Fuglede, Bent (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Netuka, Ivan
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Andrea Bonfiglioli, Ermanno Lanconelli (2006)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Let be a sub-laplacian on a stratified Lie group . In this paper we study the Dirichlet problem for with -boundary data, on domains which are contractible with respect to the natural dilations of . One of the main difficulties we face is the presence of non-regular boundary points for the usual Dirichlet problem for . A potential theory approach is followed. The main results are applied to study a suitable notion of Hardy spaces.