Abstract
In this paper we formulate some basic properties for the BV capacity and Hausdorff capacity on the Grushin space \(\mathbb {G}^n_{\alpha }\) and develop the sharp BV isocapacity inequalities on \(\mathbb {G}^n_{\alpha }\) under a dimensional condition.
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Supported by the National Natural Science Foundation of China (Nos. 11671031, 11471018), the Fundamental Research Funds for the Central Universities (No. FRF-BR-17-004B), and Beijing Municipal Science and Technology Project (No. Z17111000220000).
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Li, G., Liu, Y. A note on BV capacities on Grushin spaces. Arch. Math. 111, 203–214 (2018). https://doi.org/10.1007/s00013-018-1174-0
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DOI: https://doi.org/10.1007/s00013-018-1174-0