| 실적년도 | 2014년 |
|---|---|
| 논문구분 | 국외 |
| 총저자 | Jaehoon Kang, Panki Kim |
| 학술지명 | Potential Analysis |
| 권(Vol.) | 50 |
| 호(No.) | 5 |
| 게재년월 | 2014년 11월 |
| Impact Factor | 1.048(jcr2013) |
| SCI 등재 | SCI |
| 비고 |
•실적년도 : 2014
•논문구분 : 국외
•총 저자 : Jaehoon Kang, Panki Kim
•학술지명 : Potential Analysis
•게재년월 : 2014년 11월
•IF : 1.048(jcr2013)
•SCI 등재 : SCI
•국제공동연구 논문여부 : X
•기여도 : 50%
•In this paper, we discuss tangential limits for regular harmonic functions with respect to ϕ(Δ):= −ϕ(−Δ) in the C 1,1 open set D in ℝ d , where ϕ is the complete Bernstein function and d ≥ 2. When the exterior function f is local L p -Hölder continuous of order β on D c with p ∈ (1, ∞] and β > 1/p, for a large class of Bernstein function ϕ, we show that the regular harmonic function u f with respect to ϕ(Δ), whose value is f on D c , converges a.e. through a certain parabola that depends on ϕ and ϕ ′. Our result includes the case ϕ(λ) = log(1 + λ α/2). Our proofs use both the probabilistic and analytic methods. In particular, the Poisson kernel estimates recently obtained in Kang and Kim (J. Korean Math. Soc.50(5), 1009–1031, 2013) are essential to our approach.
Tangential limits for harmonic functions with respect to stable and beyond.pdf
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