Kelvin transform for (…)-harmonic functions in regular domains

• Autorzy: Michalik K. , Ryznar M.
• Języki publikacji: EN

Abstrakty

EN

We investigate conditional stable processes in a Lipschitz domain D and conditional stable processes in the image of D under the Kelvin transform. We show that, with a suitable change of time, these processes are equal in distribution. As an application, we show the equivalence of the Hardy spaces and the relative Fatou theorem for D and its image.

Słowa kluczowe

EN

stochastic partial differential equation; Besov space; Lipschitz domain; wavelet; weighted Sobolev space; nonlinear approzimation; adaptive numerical scheme

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2012
• Tom: Vol. 45, nr 2
• Strony: 361--376
• Opis fizyczny: Bibliogr. 37 poz.

Twórcy

autor

Michalik K.

autor

Ryznar M.

• Institute Of Mathematics Wrocław University Of Technology Wyb.Wyspiańskiego 27 50 -370 Wrocław, Poland,

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