Geodesic
Inner radius, polarization and circular truncation of the set
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 31, Tome 445 (2016), pp. 175-180 Cet article a éte moissonné depuis la source Math-Net.Ru

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The difference of the reduced module $m(B,0)$ of an open set $B$, $0\in B$, and the reduced module $m(B_r,0)$ of its circular truncation $B_r$, where $B_r=B\cap\{|z|, is considered. It is proved that in the case of polarization and circular symmetrization this difference does not decrease. 
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     author = {V. O. Kuznetsov},
     title = {Inner radius, polarization and circular truncation of the set},
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V. O. Kuznetsov. Inner radius, polarization and circular truncation of the set. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 31, Tome 445 (2016), pp. 175-180. http://geodesic.mathdoc.fr/item/ZNSL_2016_445_a3/

[1] V. N. Dubinin, “Simmetrizatsiya v geometricheskoi teorii funktsii kompleksnogo peremennogo”, Uspekhi mat. nauk, 49:1 (1994), 3–76 | MR | Zbl

[2] J. A. Jenkins, Univalent functions and conformal mapping, Ergeb. Math. Grenz. (N.F.), 18, Springer-Verlag, 1958 ; 2nd ed., corrected, 1965; Dzh. Dzhenkins, Odnolistnye funktsii i konformnye otobrazheniya, M., 1962 | MR | Zbl

[3] V. K. Xeiman, Mnogolistnye funktsii, Per. s angl., IL, M., 1960

[4] V. O. Kuznetsov, “Polyarizatsiya i krugovoe usechenie oblasti”, Zap. nauchn. semin. POMI, 440, 2015, 162–169

[5] A. Yu. Solynin, “Minimizatsiya konformnogo radiusa pri krugovom suzhenii oblasti”, Zap. nauchn. semin. POMI, 254, 1998, 145–164 | MR | Zbl

[6] A. Yu. Solynin, “Polyarizatsiya i funktsionalnye neravenstva”, Algebra i analiz, 8:6 (1996), 148–185 | MR | Zbl