Abstract

11 @t vl l . In the case of the class Q r; (;M), by % (t; 0) we denote the distance from the point t to the intersection 0 of the boundary of the domain with coordinate planes given by the formula % (t; 0 )=m inijtij; in the case of the class Q r;(;M), by % (t; 0) we denote the distance from the point t to the origin, that is, %(t; 0) = p t 2 + +t 2 . Remark 1. In the one-dimensional case (l = 1), the classes Qr;() and Q r;() coincide. Denition 1.2. Let = [0;T] l , l =1 ; 2;:::; r =1 ; 2;:::;0 <1. By B r; () and B r; () we denote the classes of functions f (t1;:::;tl) dened on and satisfying the conditions

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