Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ℂ n
Annales de l'Institut Fourier, Tome 45 (1995) no. 5, pp. 1305-1327.

Nous étudions les espaces de Hardy, Bergman, Bloch et BMO pour des domaines convexes de type fini dans ℂ n . Nous calculons les duaux de ces espaces et nous mettons en lumière les propriétés essentielles des domaines complexes de type fini, qui rendent ces théorèmes possibles.

We study Hardy, Bergman, Bloch, and BMO spaces on convex domains of finite type in n-dimensional complex space. Duals of these spaces are computed. The essential features of complex domains of finite type, that make these theorems possible, are isolated.

@article{AIF_1995__45_5_1305_0,
     author = {Krantz, Steven G. and Li, Song-Ying},
     title = {Duality theorems for {Hardy} and {Bergman} spaces on convex domains of finite type in ${\mathbb {C}}^n$},
     journal = {Annales de l'Institut Fourier},
     pages = {1305--1327},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {45},
     number = {5},
     year = {1995},
     doi = {10.5802/aif.1497},
     mrnumber = {96m:32002},
     zbl = {0835.32004},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/aif.1497/}
}
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Krantz, Steven G.; Li, Song-Ying. Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ${\mathbb {C}}^n$. Annales de l'Institut Fourier, Tome 45 (1995) no. 5, pp. 1305-1327. doi : 10.5802/aif.1497. http://archive.numdam.org/articles/10.5802/aif.1497/

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