2019
Том 71
№ 10

All Issues

Vector measures of various smoothness classes and their limits

Romanov V. A.

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Abstract

A relationship between different types of continuity with respect to direction and other types of smoothness is found for vector measures. The following problem is also studied: What vector measures can be represented as the limits of quasiinvariant, infinitely differentiable, analytic, and continuous measures in the topologies of convergence in variation, convergence in semivariation, and convergence on every measurable set.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 4, pp 594-598.

Citation Example: Romanov V. A. Vector measures of various smoothness classes and their limits // Ukr. Mat. Zh. - 1995. - 47, № 4. - pp. 512–516.

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