摘要
该文研究了在条件:0≤d2σ2n=d2E‖Zn‖2≤E2‖Zn‖<+∞下,在全平面上收敛的B-值随∞机Dirichlet级数的(p,q)(R)级和(p,q)(R)型,证明了B-值随机Dirichlet级数∑n=0Zn(ω)e-λnsa.s.与级数∑∞σne-λns具有相同的(p,q)(R)级和(p,q)(R)型.
It is studied that the (p, q )( R ) order and (p, q )( R ) type of B - valued random Dirichlet series converging on the whole plane are almost surely the same as that of {^∞∑(n=0)}^~σn(e^-λ)(n^s) series under the condition that of 0≤(d^2)(σ^2)n=d^2 E||Zn||^2≤E^2||Zn||〈+∞.
出处
《江西师范大学学报(自然科学版)》
CAS
北大核心
2005年第6期535-537,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10161006)