Green function estimate for censored stable processes

Zhen Qing Chen; Panki Kim

doi:10.1007/s00440-002-0226-2

Green function estimate for censored stable processes

Zhen Qing Chen^*, Panki Kim

^*此作品的通讯作者

University of Washington

科研成果: 期刊稿件 › 文章 › 同行评审

50 引用（Scopus）

摘要

Sharp two-sided estimates for Green functions of censored α-stable process Y in a bounded C^1,1 open set D are obtained, where α ∈ (1, 2). It is shown that the Martin boundary and minimal Martin boundary of Y can all be identified with the Euclidean boundary ∂ D of D. Sharp two-sided estimates for the Martin kernel of Y are also derived.

源语言	英语
页（从-至）	595-610
页数	16
期刊	Probability Theory and Related Fields
卷	124
期	4
DOI	https://doi.org/10.1007/s00440-002-0226-2
出版状态	已出版 - 12月 2002
已对外发布	是

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Chen, Z. Q., & Kim, P. (2002). Green function estimate for censored stable processes. Probability Theory and Related Fields, 124(4), 595-610. https://doi.org/10.1007/s00440-002-0226-2

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title = "Green function estimate for censored stable processes",

abstract = "Sharp two-sided estimates for Green functions of censored α-stable process Y in a bounded C1,1 open set D are obtained, where α ∈ (1, 2). It is shown that the Martin boundary and minimal Martin boundary of Y can all be identified with the Euclidean boundary ∂ D of D. Sharp two-sided estimates for the Martin kernel of Y are also derived.",

keywords = "Capacity, Censored stable process, Green function, Harmonic function, Martin boundary, Martin kernel",

author = "Chen, {Zhen Qing} and Panki Kim",

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AU - Chen, Zhen Qing

AU - Kim, Panki

PY - 2002/12

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N2 - Sharp two-sided estimates for Green functions of censored α-stable process Y in a bounded C1,1 open set D are obtained, where α ∈ (1, 2). It is shown that the Martin boundary and minimal Martin boundary of Y can all be identified with the Euclidean boundary ∂ D of D. Sharp two-sided estimates for the Martin kernel of Y are also derived.

AB - Sharp two-sided estimates for Green functions of censored α-stable process Y in a bounded C1,1 open set D are obtained, where α ∈ (1, 2). It is shown that the Martin boundary and minimal Martin boundary of Y can all be identified with the Euclidean boundary ∂ D of D. Sharp two-sided estimates for the Martin kernel of Y are also derived.

KW - Capacity

KW - Censored stable process

KW - Green function

KW - Harmonic function

KW - Martin boundary

KW - Martin kernel

UR - http://www.scopus.com/inward/record.url?scp=0036882783&partnerID=8YFLogxK

U2 - 10.1007/s00440-002-0226-2

DO - 10.1007/s00440-002-0226-2

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ER -

Green function estimate for censored stable processes

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