Boundary behavior of holomorphic functions of 𝐴^{𝑝}_{𝑞,𝑠}

Hu, Zhang Jian

doi:10.1090/S0002-9939-1993-1195733-2

Boundary behavior of holomorphic functions of $A^ p_ {q,s}$
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by Zhang Jian Hu PDF

Proc. Amer. Math. Soc. 119 (1993), 447-451 Request permission

Abstract:

In this paper we prove that the Sobolov spaces $A_{q,s}^p(D)$ on bounded strongly pseudoconvex domains $D$ are continuously contained in $\operatorname {BMOA} (\partial D)$ for $0 < p < \infty ,q \geqslant 0$, and $s = (n + q)/p$.

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