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that is, Än,, is the ring consisting of the open unit ball in euclidean n-space minus the closed concentric p-dimensional ball of radius /. Usually we identify .Rp with the subset {(rr, ..., xr,O, ,..,0): x; real, l=i=p} of R". The conformal capacity of R:Än,r(t) is defined, as usual, to be (1) tt : tt,,r(t) : cap Rn,o(t) : iXf "f*",, lYul da, where ar€Cl(R), z:0 onffi, and u:l on Sn-1. The modulus of R is deffned by (2) modR:(on-rfpfl@-r), o!,-r: mn-r(Sn-l).

Derivatives of the conformal capacity of extremal rings