On the closability of some positive definite symmetric differential forms on c0∞(ω) |
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Authors: | W Karwowski J Marion |
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Institution: | Instytut Fizyki Teoretycznej, Universytet Wroclawski, 50-205 Wroclaw, ul. Cybulskiego 36, Poland;Département de Mathématique-Informatique, Faculté des Sciences de Luminy, Case 901, 70 route Léon-Lachamp, 13288 Marseille cedex 9, France |
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Abstract: | Let be a Dirichlet form in , where Ω is an open subset of n, n ? 2, and m a Radon measure on Ω; for each integer k with 1 ? k < n, let k be a Dirichlet form on some k-dimensional submanifold of Ω. The paper is devoted to the study of the closability of the forms E with domain and defined by: ki where 1 ? kp < ? < n, and where , gki denote restrictions of ?, g in to . Conditions are given for E to be closable if, for each i = 1,…, p, one has ki = n ? i. Other conditions are given for E to be nonclosable if, for some i, ki < n ? i. |
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