soxumis saxelmwifo universitetis S r o m e b i VII

18E A u3 p 2 p p 4212 j k 2 2 EA u 2 2 c c p 2 cosup p where1i,jt th j k, 2pp2 p 1kp Ek 1, cs . 2 Hence it follows thatpp 2E A u EA u 2 On(13) u , . It is also clear thatuniformly with respect to pp 2EA u 2 On(14) uniformly with respect to u ,.Having combined the relations (12), (13) and (14), we obtain 1 pEd n O ,p n h p 2 .ThereforecP FˆnxEFˆ3supnx xp n h pn . (15)Furthermore, we have1 sup EFˆnxFx sup EF1nxFx sup 1F2nx .xn10 xnxn (16)By virtue of (10), the second summand in the right-hand part of(16) tends to 0, whereas the first summand is estimated as follows: 1 sup EF1 nxFx S1n S2n O , (17)xn nh SS1n2n1 sup0x1h10F 1 sup 1xnhy10 Fx x y Kdy, h p x y Kdy, h p