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Boundary behavior of
holomorphic functions in the ball
Jacob Burbea |
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Vol. 127 (1987), No. 1, 1–17
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Abstract |
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A description of the boundary behavior of functions belonging to certain Sobolev classes of holomorphic functions on the unit ball Bn of Cn is given in terms of bounded and vanishing mean oscillation. In particular, it is shown that the boundary values of any holomorphic function on Bn, whose fractional derivative of order n∕p belongs to the Hardy class Hp(Bn), have vanishing mean oscillation provided 0 < p ≤ 2. |
Mathematical Subject Classification 2000
Primary: 32A35
Secondary: 32A40, 46E15
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Milestones
Received: 22 November 1985
Published: 1 March 1987
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Authors |
| Jacob Burbea | |
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