Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ℂ n

Steven G. Krantz; Song-Ying Li

Annales de l'institut Fourier (1995)

  • Volume: 45, Issue: 5, page 1305-1327
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Krantz, Steven G., and 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 45.5 (1995): 1305-1327. <http://eudml.org/doc/75161>.

@article{Krantz1995,
abstract = {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.},
author = {Krantz, Steven G., Li, Song-Ying},
journal = {Annales de l'institut Fourier},
keywords = {Bloch; BMO; convex domains of finite type},
language = {eng},
number = {5},
pages = {1305-1327},
publisher = {Association des Annales de l'Institut Fourier},
title = {Duality theorems for Hardy and Bergman spaces on convex domains of finite type in $\{\mathbb \{C\}\}^n$},
url = {http://eudml.org/doc/75161},
volume = {45},
year = {1995},
}

TY - JOUR
AU - Krantz, Steven G.
AU - Li, Song-Ying
TI - Duality theorems for Hardy and Bergman spaces on convex domains of finite type in ${\mathbb {C}}^n$
JO - Annales de l'institut Fourier
PY - 1995
PB - Association des Annales de l'Institut Fourier
VL - 45
IS - 5
SP - 1305
EP - 1327
AB - 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.
LA - eng
KW - Bloch; BMO; convex domains of finite type
UR - http://eudml.org/doc/75161
ER -

References

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