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

Sandrine Grellier

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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DOI: http://dx.doi.org/10.7146/math.scand.a-14372

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ISSN 0025-5521 (print) ISSN 1903-1807 (online)

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