Markov sets in C are not polar

• Autorzy: Białas-Cież L.
• Języki publikacji: EN

Abstrakty

EN

We prove that a compact set E of C satysfying the generalized Markov inequality (i.e. for each polynomial P (1) [max {absolute value P'(z) : z belongs to E} is less than or equal M (deg P)^m max{ absolute value P(z) : z belongs to E}], where [M is greater than or equal to 1] and m > 0 are some constants independent of P) is not polar. Moreover cap [(E) is greater than or equal to 1/Mdelta^m(diam E)^1/3] with an absolute constant delta > 0.

Słowa kluczowe

EN

logarithmic capacity; Markov inequality; polar sets

PL

aproksymacja; nierówność Markowa; pojemność logarytmiczna; zbiór biegunowy

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no. 1
• Strony: 83--89
• Opis fizyczny: Bibliogr. 20 poz.,

Twórcy

autor

Białas-Cież L.

• Institute Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków

Bibliografia

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