We analyze the differentiability of Borel measures on Banach manifolds with uniform structure and establish a criterion of weak differentiability.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 68, No. 10, pp. 1348–1364, October, 2016.
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Moravets’ka, K.V. Differentiability of Borel Measures Along Vector Fields on Banach Manifolds with Uniform Structure. Ukr Math J 68, 1552–1573 (2017). https://doi.org/10.1007/s11253-017-1312-z
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DOI: https://doi.org/10.1007/s11253-017-1312-z