A note on the extension of BV functions in metric measure spaces |
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| Authors: | Annalisa Baldi |
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| Affiliation: | Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di P.ta S. Donato, 5, 40126 Bologna, Italy |
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| Abstract: | In this note, a classical extension result for BV functions due to Yu.D. Burago and V.G. Maz'ja [Yu.D. Burago, V.G. Maz'ja, Potential Theory and Function Theory for Irregular Regions, Seminars in Math., vol. 3, V.A. Steklov Math. Inst., Leningrad, 1969 (translated from Russian)] is generalized to the abstract setting of doubling metric measure spaces endowed with a differentiation structure called D-structure. |
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| Keywords: | BV Perimeter Metric space D-structure Doubling condition |
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