Hardy spaces of conjugate temperatures
Volume 122 / 1997
Studia Mathematica 122 (1997), 153-165
DOI: 10.4064/sm-122-2-153-165
Abstract
We define Hardy spaces of pairs of conjugate temperatures on $ℝ_{+}^{2}$ 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.
