Hardy-Sobolev spaces of complex tangential derivatives of holomorphic functions in domains of finite type

Authors

  • Sandrine Grellier

DOI:

https://doi.org/10.7146/math.scand.a-14372

Abstract

In this paper, we prove Fefferman-Stein like characterizations of Hardy-Sobolev spaces of complex tangential derivatives of holomorphic functions in domains of finite type in $\boldsymbol C^n$. We also study the relationship between these complex tangential Hardy-Sobolev spaces and the usual ones. We also obtain partial results on domains not necessarily of finite type.

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Published

2002-06-01

Issue

Vol. 90 No. 2 (2002)

Section

Articles

How to Cite

[1]
S. Grellier, “Hardy-Sobolev spaces of complex tangential derivatives of holomorphic functions in domains of finite type”, Math. Scand., vol. 90, no. 2, pp. 232–250, Jun. 2002, doi: 10.7146/math.scand.a-14372.