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Zapiski Nauchnykh Seminarov LOMI, 1986, Volume 149, Pages 52–66
(Mi znsl4926)
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Traces of differentiable functions on subsets of Euclidean space
A. B. Gulisashvili
Abstract:
We investigate conditions of existence and coincideness of the traces of functions of Sobolev's and Besov's classes both in the operator sense and in the sense of strict definiteness. A solution is given to the problems on trace and extension for the trace operator $\operatorname{Tr}\colon B\to L^p$ in the case, when $\Gamma$ is a countably $(\mathcal H_m,m)$ – rectifiable $\mathcal H$-measurable subset of $\mathbb R^n$.
Citation:
A. B. Gulisashvili, “Traces of differentiable functions on subsets of Euclidean space”, Investigations on linear operators and function theory. Part XV, Zap. Nauchn. Sem. LOMI, 149, "Nauka", Leningrad. Otdel., Leningrad, 1986, 52–66
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https://www.mathnet.ru/eng/znsl4926 https://www.mathnet.ru/eng/znsl/v149/p52
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Abstract page: | 108 | Full-text PDF : | 48 |
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