Hörmander's Carleson theorem for the ball
Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 13-17

Voir la notice de l'article provenant de la source Cambridge University Press

Let denote the unit ball in C2 and let Sdenote its boundary, the unit sphere. For z ∈ B and δ>0, the following non isotropic balls are defined, where A finite positive Borel measure μ, on B is called a Carleson measure if there exists a constant C for whichHere σ denotes normalized surface area measure on S. The following theorem was obtained by Hörmander [6] as a special case of more general variants for strictly pseudoconvex domains in Cn. Recently Cima and Wogen [3] derived it from a Carleson measure theorem for Bergman spaces of the ball. A different direct approach to the Bergman context, and related settings, is given in Leucking [7].
Power, S. C. Hörmander's Carleson theorem for the ball. Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 13-17. doi: 10.1017/S0017089500005711
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