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Pregled bibliografske jedinice broj: 363412

Boundary Harnack principle for subordinate Brownian motions

Kim, Panki; Song, Renming; Vondraček, Zoran
Boundary Harnack principle for subordinate Brownian motions // Stochastic processes and their applications, 119 (2009), 5; 1601-1631 doi:10.1016/j.spa.2008.08.003 (međunarodna recenzija, članak, znanstveni)

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Naslov
Boundary Harnack principle for subordinate Brownian motions

Autori
Kim, Panki ; Song, Renming ; Vondraček, Zoran

Izvornik
Stochastic processes and their applications (0304-4149) 119 (2009), 5; 1601-1631

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Green functions ; Poisson kernels ; subordinator ; subordinate Brownian motion ; Bernstein functions ; complete Bernstein functions ; symmetric stable processes ; mixture of symmetric stable processes ; harmonic functions ; Harnack inequality ; boundary Harnack principle ; Martin boundary

Sažetak
We establish a boundary Harnack principle for a large class of subordinate Brownian motions, including mixtures of symmetric stable processes, in $\kappa$-fat open sets (disconnected analogue of John domains). As an application of the boundary Harnack principle, we identify the Martin boundary and the minimal Martin boundary of bounded $\kappa$-fat open sets with respect to these processes with their Euclidean boundaries.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA

Projekti:
MZOS-037-0372790-2801 - Slučajni procesi sa skokovima (Vondraček, Zoran, MZOS ) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Zoran Vondraček (autor)

Poveznice na cjeloviti tekst rada:

doi www.sciencedirect.com www.sciencedirect.com

Citiraj ovu publikaciju:

Kim, Panki; Song, Renming; Vondraček, Zoran
Boundary Harnack principle for subordinate Brownian motions // Stochastic processes and their applications, 119 (2009), 5; 1601-1631 doi:10.1016/j.spa.2008.08.003 (međunarodna recenzija, članak, znanstveni)
Kim, P., Song, R. & Vondraček, Z. (2009) Boundary Harnack principle for subordinate Brownian motions. Stochastic processes and their applications, 119 (5), 1601-1631 doi:10.1016/j.spa.2008.08.003.
@article{article, author = {Kim, Panki and Song, Renming and Vondra\v{c}ek, Zoran}, year = {2009}, pages = {1601-1631}, DOI = {10.1016/j.spa.2008.08.003}, keywords = {Green functions, Poisson kernels, subordinator, subordinate Brownian motion, Bernstein functions, complete Bernstein functions, symmetric stable processes, mixture of symmetric stable processes, harmonic functions, Harnack inequality, boundary Harnack principle, Martin boundary}, journal = {Stochastic processes and their applications}, doi = {10.1016/j.spa.2008.08.003}, volume = {119}, number = {5}, issn = {0304-4149}, title = {Boundary Harnack principle for subordinate Brownian motions}, keyword = {Green functions, Poisson kernels, subordinator, subordinate Brownian motion, Bernstein functions, complete Bernstein functions, symmetric stable processes, mixture of symmetric stable processes, harmonic functions, Harnack inequality, boundary Harnack principle, Martin boundary} }
@article{article, author = {Kim, Panki and Song, Renming and Vondra\v{c}ek, Zoran}, year = {2009}, pages = {1601-1631}, DOI = {10.1016/j.spa.2008.08.003}, keywords = {Green functions, Poisson kernels, subordinator, subordinate Brownian motion, Bernstein functions, complete Bernstein functions, symmetric stable processes, mixture of symmetric stable processes, harmonic functions, Harnack inequality, boundary Harnack principle, Martin boundary}, journal = {Stochastic processes and their applications}, doi = {10.1016/j.spa.2008.08.003}, volume = {119}, number = {5}, issn = {0304-4149}, title = {Boundary Harnack principle for subordinate Brownian motions}, keyword = {Green functions, Poisson kernels, subordinator, subordinate Brownian motion, Bernstein functions, complete Bernstein functions, symmetric stable processes, mixture of symmetric stable processes, harmonic functions, Harnack inequality, boundary Harnack principle, Martin boundary} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts

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