The free interpolation problem for Hölder classes on a simply connected bounded domain whose boundary is a quasiconformal curve is studied. The necessary and sufficient conditions on a closed set E ⊂ Ḡ under which the whole Hölder space on E is generated by the restrictions of analytic functions of the Hölder class to the domain G are discussed.
Original language | English |
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Pages (from-to) | 4324-4337 |
Number of pages | 14 |
Journal | Journal of Mathematical Sciences |
Volume | 92 |
Issue number | 6 |
DOIs | |
State | Published - 1998 |
Externally published | Yes |
ID: 86661203