Boundary Harnack inequality for α-harmonic functions on the Sierpiński triangle

• Autorzy: Kaleta K. , Kwaśnicki M.
• Języki publikacji: EN

Abstrakty

EN

We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to α-stable process on the Sierpiński triangle, where α ∈ (0,1). Our result requires no regularity assumptions on the domain of harmonicity.

Słowa kluczowe

EN

Sierpiński triangle; boundary Harnack inequality; stable process

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2010
• Tom: Vol. 30, Fasc. 2
• Strony: 353--368
• Opis fizyczny: Bibliogr. 33 poz., rys.

Twórcy

autor

Kaleta K.

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

autor

Kwaśnicki M.

• Institute of Mathematics and Computer Science, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

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