Subaveraging estimates for CR functions
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- by A. Boggess and R. Dwilewicz PDF
- Proc. Amer. Math. Soc. 104 (1988), 117-124 Request permission
Abstract:
We give conditions on a CR submanifold $M$ in ${{\mathbf {C}}^n}$ and a compact submanifold $N \subset M$ such that the average value on $N$ of a CR function on $M$ can be estimated uniformly by the ${L^1}$-norm of the CR function on a neighborhood of $N$ in $M$. The conditions involve the Levi form of $M$ and the transversality of $N$ to the holomorphic tangent bundle of $M$.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 117-124
- MSC: Primary 32F99
- DOI: https://doi.org/10.1090/S0002-9939-1988-0958054-4
- MathSciNet review: 958054