"The weak Dirichlet problem for Baire functions" . "3153;3157" . . . "1"^^ . "Let $X$ be a simplex and $K$ be a compact subset of the set of all extreme points of $X$. We show that any bounded function $f$ of Baire class $\\alpha$ on $K$ can be extended to a function $h$ of affine class $\\alpha$ on $X$." . "1"^^ . "Dirichlet; problem; Baire; functions"@en . "RIV/00216208:11320/06:00002915" . . "Let $X$ be a simplex and $K$ be a compact subset of the set of all extreme points of $X$. We show that any bounded function $f$ of Baire class $\\alpha$ on $K$ can be extended to a function $h$ of affine class $\\alpha$ on $X$."@en . "Slab\u00E1 Dirichletova \u00FAloha pro baireovsk\u00E9 funkce"@cs . . . . "Spurn\u00FD, Ji\u0159\u00ED" . "0002-9939" . "RIV/00216208:11320/06:00002915!RIV07-MSM-11320___" . . "[B66F6A36D79B]" . . . "The weak Dirichlet problem for Baire functions"@en . . "134" . . . . "Proceedings of the American Mathematical Society" . "508871" . . . . "Slab\u00E1 Dirichletova \u00FAloha pro baireovsk\u00E9 funkce"@cs . . . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . . "Nech\u0165 $X$ je kompaktn\u00ED konvexn\u00ED mno\u017Eina a $K$ je kompaktn\u00ED podmno\u017Eina extrem\u00E1ln\u00EDch bod\u016F. Pak ka\u017Ed\u00E1 funkce Baireovy t\u0159\u00EDdy $\\alpha$ na $K$ lze roz\u0161\u00ED\u0159it na afinn\u00ED funkci t\u0159\u00EDdy $\\alpha$."@cs . "P(GA201/03/0935), P(GP201/03/D120), Z(MSM0021620839)" . "11320" . "The weak Dirichlet problem for Baire functions" . "5"^^ . "11" . "The weak Dirichlet problem for Baire functions"@en .