Weak convergence of the area of nonparametric $L_{1}$ surfaces
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- by Kim E. Michener PDF
- Trans. Amer. Math. Soc. 234 (1977), 175-184 Request permission
Abstract:
The main purpose of this work is to obtain an analogue to a theorem of L. C. Young on the behavior of the nonparametric surface area of continuous functions. The analogue is for ${L^1}$ functions of generalized bounded variation. By considering arbitrary Borel vector measures and kernels other than the area kernel, results concerning the weak behavior of measures induced by a class of sublinear functionals are obtained.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 234 (1977), 175-184
- MSC: Primary 28A75; Secondary 49F25
- DOI: https://doi.org/10.1090/S0002-9947-1977-0466495-4
- MathSciNet review: 0466495