Geodesic
Modules of families of vector measures on a Riemann surface
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 33, Tome 458 (2017), pp. 31-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a Riemann surface in the broad sense of the term in the Hurwitz–Courant terminology and an open set with a compact closure on this surface. In this paper, it is established that a family of vector measures can be associated with a condenser on a given open set, following the Aikawa–Ohtsuka, whose modules are calculated directly with the help of a weighted capacity (with Muckenhoupt weight) of the given condenser. 
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Yu. V. Dymchenko; V. A. Shlyk. Modules of families of vector measures on a Riemann surface. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 33, Tome 458 (2017), pp. 31-41. http://geodesic.mathdoc.fr/item/ZNSL_2017_458_a3/

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