A uniqueness theorem for a class of harmonic functions
A uniqueness theorem for a class of harmonic functions
where v(qf) is absolutely continuous with ,u'(q$) =v'(q$) almost everywhere, and g(q$) is of bounded variation with g'(q$) = 0 almost everywhere. Now, for any q$ for which ,u'(q$) exists, which is the case almost everywhere, lim7o1 u(r, ek) =,x'(4). Since limr,1 u(r, 0) =0 almost everywhere, we have v'(qf) …