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Extension theorems
for functions of vanishing mean oscillation
Peter J. Holden |
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Vol. 142 (1990), No. 2, 277–295
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Abstract |
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A locally integrable function is said to be of vanishing mean oscillation (VMO) if its mean oscillation over cubes in Rd converges to zero with the volume of the cubes. We establish necessary and sufficient conditions for a locally integrable function defined on a bounded measurable set of positive measure to be the restriction to that set of a VMO function. |
Mathematical Subject Classification 2000
Primary: 42B30
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Milestones
Received: 12 April 1988
Revised: 22 August 1988
Published: 1 April 1990
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Authors |
| Peter J. Holden | |
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