Displaying similar documents to “Extensions of a theorem of Hardy”

Hardy spaces of conjugate temperatures

Martha Guzmán-Partida (1997)

Studia Mathematica

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We define Hardy spaces of pairs of conjugate temperatures on + 2 using the equations introduced by Kochneff and Sagher. As in the holomorphic case, the Hilbert transform relates both components. We demonstrate that the boundary distributions of our Hardy spaces of conjugate temperatures coincide with the boundary distributions of Hardy spaces of holomorphic functions.